A binomial probability experiment is conducted with the given parameters. Compute the probability of x successes in the n independent trials of the experiment.
n = 15, p = 0.3, X = 3
P(3)=0

Answer:

[tex]P(x = 3) = 0.1700[/tex]

Explanation:

Given

[tex]n = 15[/tex]

[tex]p = 0.3[/tex]

Required

Determine P(x = 3)

This is calculated using:

[tex]P(x) = ^nC_xp^x(1-p)^{n-x}[/tex]

So, we have:

[tex]P(x = 3) = ^{15}C_3*0.3^3*(1-0.3)^{15-3}[/tex]

[tex]P(x = 3) = ^{15}C_3*0.3^3*(1-0.3)^{12}[/tex]

[tex]P(x = 3) = 455 *0.027*(0.7)^{12}[/tex]

[tex]P(x = 3) = 455 *0.027*0.0138412872[/tex]

[tex]P(x = 3) = 0.17004021325[/tex]

[tex]P(x = 3) = 0.1700[/tex]

A type of capacitor has resistances that vary according to a normal distribution, with a mean of 600 mega ohms and a standard deviation of 150 mega ohms. A certain application specifies capacitors with resistance of between 850 and 1000 mega ohms. What proportion of these capacitors will meet this specification?

Question 2
According to the Article, why is blue the most common favorite color of people all around the world?
Because it's often viewed as the brightest color, and many Americans tend to think of it as cheerful, hopeful, and warm
Because it calls to mind plants and spring, so many people around the world associate it with the earth, health, life, and renewal
© Because people in the U.S. associate it with safety, trustworthiness, and dependability, and in some Asian countries it also signifies
health or immortality
Because it communicates power and strength, and in Chinese culture it is said to bring good luck and prosperity