Historically, the default rate on a certain type of commercial loan is 20 percent. If a bank makes 100 of these loans, what is the approximate probability that at least 26 will result in default? .0668 .0336 .0846 .2000

Answers

Answer 1

The approximate probability that at least 26 loans will result in default, out of 100 loans with a historical default rate of 20 percent, is 0.0846.

To solve this problem, we can use the binomial distribution formula, which is P(X ≥ k) = 1 - P(X < k), where X is a binomial random variable, k is the minimum number of successes we want to achieve (in this case, 26 defaults), and P is the probability of success on each trial (in this case, 0.2, or 20 percent).

Using this formula, we can find the probability of having less than 26 defaults as follows:

P(X < 26) = Σ(k=0 to 25) (100 choose k) * 0.2^k * (0.8)^(100-k) = 0.9154

(Note: the symbol "choose" represents the binomial coefficient, which can be calculated using the formula n choose k = n!/(k!(n-k)!)

Therefore, the probability of having at least 26 defaults is:

P(X ≥ 26) = 1 - P(X < 26) = 1 - 0.9154 = 0.0846

Therefore, the approximate probability that at least 26 loans will result in default is 0.0846.

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Related Questions

In a supermarket, bottles of lemonade are on a buy one get one half price offer.
The normal price of lemonade is 76p.
How much would it cost to get exactly three bottles of lemonade using this offer?

Answers

Answer:

114p

Step-by-step explanation:

I did the math, I really hope it's correct

The cost to get exactly three bottles of lemonade using the offer will be [tex]190p[/tex] .

What is expression ?

Expressions is a finite combination of symbols that is well-formed according to rules that depend on the context.

We have,

Normal price of bottle [tex]=76p[/tex]

And,

Offer is buy one get one half price.

So,

According to the question,

Normal price of one bottle [tex]=76p[/tex]

Half price of one bottle [tex]=\frac{76p}{2}=38p[/tex]

So,

Price of three bottles [tex]=76*2+38[/tex]

[tex]=190p[/tex]

So, Price of three bottles is [tex]190p[/tex] .

Step-by-step explanation:

divide the product of d and 6 by 4

Answers

Answer:

d/24

Step-by-step explanation:

factor completely6x2+8x+2. Fill in the blanks using the correct sign: 2(3x+ )(x+ )

Answers

Answer:

2(3x+1)(x+1)

Step-by-step explanation:

First, we factor out the common term, which is 2.

2(3x²+4x+1)

Then, we factor the polynomial inside the parenthesis.

2(3x+1)(x+1)

Answer:

2(3x + 1)(x + 1)

Step-by-step explanation:

Given

6x² + 8x + 2 ← factor out 2 from each term

= 2(3x² + 4x + 1) ← factor the quadratic

Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term

product = 3 × 1 = 3 and sum = 4

The factors are + 3 and + 1

Use these factors to split the x- term

3x² + 3x + x + 1 ( factor the first/second and third/fourth terms )

= 3x(x + 1) + 1(x + 1) ← factor out (x + 1) from each term

= (3x + 1)(x + 1) , then

3x² + 4x + 1 = (3x + 1)(x + 1)

and

6x² + 8x + 2 = 2(3x + 1)(x + 1) ← in factored form

3)
Find the area of a rhombus with diagonals of 10 inches and 7 inches.
1)
A)
35 in 2
B)
40 in 2
C)
45 in 2
D)
70 in 2

Answers

Answer:

35 in 2

Step-by-step explanation:

A, search it up. :)

Donte ordered the plans shown to build a skateboard ramp. Each unit represents one foot. He wants to keep the same slope of the ramp and extend the base of the triangle three feet. How tall will the ramp be

Answers

Answer:

3 feet

Step-by-step explanation:

The slope of line shows the steepness of that line. It is the ratio of the change in vertical distance to the change in horizontal distance.

The slope of a line passing through points [tex](x_1,y_1)\ and\ (x_2,y_2)[/tex] on the coordinate plane is:

[tex]slope=\frac{change\ in\ y}{change\ in\ x}=\frac{y_2-y_1}{x_2-x_1}[/tex]

From the diagram of the ramp, we can see that:

The ramp passes through the point (0,0) and (6, 2). Therefore the slope is:

[tex]slope=\frac{2-0}{6-0}=\frac{1}{3}[/tex]

The base is at 6 ft tall, if we extend the base by 3 units, the base would be 9 ft (6 + 3). The new height would be:

height = slope * base = (1/3) * 9 = 3 feet

If the base is extended by 3 feet, the tall would be 3 feet tall.

5x +1=4x +7
What is x

Answers

Answer:

Step-by-step explanation:

86x4=?
4x4=
3x3=

Who wanna z00m?

Answers

Answer:

86×4 = 344

4×4= 16

3×3= 9

Step-by-step explanation:

I hope it help

Answer: 344, 16, 9

Step-by-step explanation:

Four times a number is greater than 48

Answers

Answer:

Step-by-step explanation:

Answer:

4x>48

x>12ans.this is the correct answer

Which expression is equivalent to (b^n)^m?

Answers

Answer:

(a^m)^n = a^mn ( I think sum like that)

Step-by-step explanation:

Apply the power rule and multiply exponents.

can you guys help me again lol-

Answers

Answer:

$93 per hour ?

125-405 = 280

280÷3= 93 per hour

WILL GIVE BRAINLIEST!!!!! (100 POINTS)
(05.01 MC)
A kite is a quadrilateral with two pairs of adjacent, congruent sides. Prove the two angles between the non-congruent sides are congruent. Be sure to create and name the appropriate geometric figures. This figure does not need to be submitted. (10 points)

Answers

let the kite is the quadrilateral ABCD with the two pairs of adjacent congruent sides. (the diagram is also attached)

Now, its given in question, see from figure,
AB is congruent to AD
BC is congruent to DC

Now, let us join the points A & C to form AC ; and points B and D to form BD.
So, AC is common side to triangles ABC and ADC.
So, Because AB ≈AD
BC ≈ DC
And, AC is common, therefore,
triangle ABC is congruent to triangle ADC

⇒∠ ABC ≈ ∠ADC (These are the angles between the non-congruent sides)

10v2 + 50
o Linear binomial
o Constant binomial
Quadratic binomial
Quadratic trinomial

Answers

Answer:

what is the question? probably describe the polynomial. okay. the polynomial 10v^2 + 50 is a quadratic (it is to the 2nd power) and a binomial (has 2 terms).

Plz Solve Will Mark Brainliest and No Stealing Points Or Will Report
Part 2

Answers

Answer:

Before we graph [tex]y = -\frac{1}{2}x,[/tex] we know that the slope, mx, could be read as [tex]\frac{rise}{run}[/tex]. To graph the the equation of the line, we begin at the point (0,0). From that point, because our rise is negative (-1), instead of moving upwards or vertically, we will move downards. Therefore, from point 0, we will vertically move downwards one time. Now, our point is on point -1 on the y-axis. Now, we have 2 as our run. From point -1, we move to the right two times. We land on point (2,-1). Because we need various points to graph this equation, we must continue on. In the end, the graph will look like the first graph given.

For the equation y = 2, the line will be plainly horizontal. Why? Because x has no value in the equation. The variable [tex]x[/tex] does not exist in this linear equation. Therefore, it will look like the second graph below. We graph this by plotting the point, (0,2), on the y-axis.

solve for the missing side,x

Answers

Answer:

5.98°

Step-by-step explanation:

Given

with reference angle 50.1°

perpendicular (p) = x

base (b) = 5

Now

tan 50.1° = p / b

1.195 = x / 5

x = 1.195 * 5

x = 5.98

Hope it will help :)

Oh yeah sweetie no I did it was like I

Brain list for correct answer!!!

Answers

Answer:

1.58 is the correct answer

[tex] \huge{\tt{Answer:}} [/tex]

option 1 .86

[tex] \sf {sinA= {\dfrac{opposite~side}{hypotenuse}} = {\dfrac{9.5}{11}} = .86} [/tex]

I need help with this question

Answers

Answer:

R=34

Step-by-step explanation:

As, pythoreon therom states = a2 + b2= c2

a= 16, 16^2 = 256

b= 30, 30^2 = 900

c2= 900+256

c2 = 1,156

c= 34

So, 16^2 + 30^2 = 34^2

its late ........................

Answers

4. To simplify the expression, multiply J by 1 + the rate:

The expression would be j(1.05)

New price = 35(1.05) = 36.75

5. multiply the cost of each ( t-shirt and cd) by the number of cds bought:

Total = 12x + 7.50x

Simplify by adding the price of each together:

Total = 19.5x

I really need help with this

Answers

The correct answer is D!

Deku's watermelon weighs 128 ounces. Bakugo's
weighs 112 ounces. Which watermelon is heavier?
By how many ounces? -Side note- HELP MEH ;-; worth 16 points

Answers

Answer: Deku's watermelon weighs more by 16 ounces.

Step-by-step explanation:

hope this helps lol :)

Ya Dekus is heavier by 16 ounces

U estimate that there are 40 marbles in a jar the actual amount is 48 marbles find the percent error round to the nearest 10th of a percent

Answers

Answer: 10.7%

Step-by-step explanation:

The percentage error will be calculated as:

Estimated value - Actual value / Actual value × 100

= (40 - 48) / 48 × 100

= 8/48 × 100

= 1/6 × 100

= 10.7%

Cindy and Tim went to the state fair. They paid a $4.50 entry and $1.25 per ride ticket

Find the slope, y-intercept and write the equation for this Linear Relationship.

Answers

Answer:

2.50

Step-by-step explanation:

1. Carlos tiene un terreno de 30.000 m2, él
vende 3/5 del total del terreno y recibe por
la venta $27.000.000.000; en 1/3 del
terreno restante va a construir una piscina
que tiene de profundidad desde 1,2 metros
hasta 1,8 m en forma descendente; en el
resto del terreno va a construir una casa.
De la información, se puede decir que Carlos
vendió cada m2 por un valor de
A. $1.500.000
B. $1.800.000
C. $2.100.000
D. $2.400.000
PROCEDIMIENTO:

Answers

Answer:

d)şıtkı abi nasıl bilemesin

La opción correcta es A. Carlos vendió cada m2 a $1.500.000.

Dado que Carlos tiene un terreno de 30.000 m2, y vendió 3/5 del total del terreno y recibió por la venta $27.000.000.000; para determinar el valor en que Carlos vendió cada m2 se debe realizar el siguiente cálculo:

27.000.000.000 / (30.000 x 3/5) = X27.000.000.000 / 18.000 = X1.500.000 = X

Por lo tanto, Carlos vendió cada m2 a $1.500.000.

Aprende más en https://brainly.com/question/9283173

Please Help!! Screenshot below!

Answers

Answer:

the answer is x+3(the 3rd option)

Step-by-step explanation:

Hope This Helps!!

(brainliest please)

Really need help! Click the picture to make it bigger

Answers

Answer: 3/4 i think

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:

PLEASE MARK BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!

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