The IQ scores of a population are normally distributed with a mean of 100 and a standard deviation of 15. Find the range of IQ scores that covers the middle 95% of the population.

Given: P(a<X<b)=P(-c<Z<c)=95%. 

The value of b is __________.

Thus, the middle 95% covers IQ scores from a to b.

(a)  The heights of adult males in a population follow a normal distribution with a mean of 70 inches and a standard deviation of 3 inches. What is the probability that a randomly selected adult male is taller than 73 inches?

The required probability is

The IQ scores of a population are normally distributed with a mean of 100 and a standard deviation of 15. Find the range of IQ scores that covers the middle 95% of the population.

Given: P(a<X<b)=P(-c<Z<c)=95%. 

The value of c is __________.

Thus, the middle 95% covers IQ scores from a to b.

The IQ scores of a population are normally distributed with a mean of 100 and a standard deviation of 15. Find the range of IQ scores that covers the middle 95% of the population.

Given: P(a<X<b)=P(-c<Z<c)=95%. 

The value of a is __________.

Thus, the middle 95% covers IQ scores from a to b.

A hospital records the number of emergency room (ER) arrivals due to cardiac issues. Historically, an average of 3 patients with cardiac issues arrive per hour.

What is the probability that no more than 2 patients will arrive in an hour? (=0.0498)

A hospital records the number of emergency room (ER) arrivals due to cardiac issues. Historically, an average of 3 patients with cardiac issues arrive per hour.

What is the probability that exactly 5 patients with cardiac issues will arrive in a specific hour?

A student takes a ten-question true/false exam. By using the binomial distribution,

Find the probability that the student will obtain a passing grade of 60% or greater simply by guessing

A student takes a ten-question true/false exam. By using the binomial distribution,

Find the probability that the student gets exactly six of the questions right simply by guessing the answer on every question.

Let

X be the random variable with probability distribution function    

Borachio works in an automotive tire factory. The number X of sound but blemished tires that he produces on a random day has the probability distribution