Exam 6: Probability

For a normal distribution with µ = 80 and σ = 10 the score that separates the bottom 10% of the distribution from the rest is 67.2.

Scores on the SAT form a normal distribution with a mean of µ = 500 with σ = 100.If the state college only accepts students who score in the top 60% on the SAT,what is the minimum score needed to be accepted?​

A normal distribution has a mean of µ = 40 with σ = 10.What proportion of the scores in this distribution are smaller than X = 35?​

A normal distribution has a mean of µ = 80 with σ = 20.What score separates the highest 40% of the distribution from the rest of the scores?​

The binomial distribution for p = 1/4 and n = 96 has a mean of μ = 24.

A vertical line is drawn through a normal distribution at z = 0.50,and separates the distribution into two sections.What proportion of the distribution is in the larger section?​

A normal distribution has a mean of µ = 70 with σ = 12.If one score is randomly selected from this distribution,what is the probability that the score will be greater than X = 58?​

A normal distribution has a mean of µ = 80 with σ = 20.What score separates the lowest 30% of the distribution from the rest of the scores?​

For the normal approximation to the binomial distribution with n = 100 and p = 1/2,a score of X = 60 corresponds to a z-score of z = 2.00.

If one score is randomly selected from a normal distribution with µ = 100 and σ = 20,the probability of obtaining a score greater than X = 110 is p = 0.6915.

Assume that a vertical line is drawn through a normal distribution at each of the following z-score locations.In each case,determine whether the tail is on the left side or the right side of the line and find the proportion of the distribution that is located in the tail. a. z = +1.80 b. z = +0.60 c. z = -0.40 d. z = -1.25

Which of the following are requirements of a random sample?​

A normal distribution has a mean of µ = 100 with σ = 20.If one score is randomly selected from this distribution,what is the probability that the score will have a value between X = 90 and X = 120?​

What proportion of a normal distribution is located between z = -0.25 and z = +0.25?​

For a normal distribution with µ = 100 and σ = 20,the score that separates the top 60% of the distribution from the bottom 40% is X = 95.

In an ESP experiment subjects must predict whether a number randomly generated by a computer will be odd or even. a. What is the probability that a subject would guess exactly 18 correct in a series of 36 trials? b. What is the probability that a subject would guess more than 20 correct in a series of 36 trials?

If one score is randomly selected from a normal distribution with µ = 100 and σ = 20,the probability of obtaining a score less than X = 95 is p = 0.4013.

A binomial distribution has p = 1/5 and q = 4/5 with n = 100.In the normal approximation to this distribution,what is the z-score corresponding to X = 25?​

Assume that the total score (from both teams)for college football games averages µ = 42 points per game,and that the distribution of total points is approximately normal with σ = 20. a. What is the probability that a randomly selected game would have more than 60 points? b. What proportion of college football games have a point total between 20 and 60?

If one score is randomly selected from a normal distribution with µ = 100 and σ = 20,the probability of obtaining a score between X = 90 and X = 100 is p = 0.3085.