L+A49:K116et z be the standard normal random variable.Let z be the standard norm

Question

L+A49:K116et z be the standard normal random variable.Let z be the standard normal random variable. 1 Find P(z < 2.5) a 0.8944 b 0.9032 c 0.9115 d 0.9938 2 Find P(z > 2.5) a 0.0606 b 0.0062 c 0.0885 d 0.1151 3 Find P(-1.25 < z < 1.25) a 0.8261 b 0.5799 c 0.7888 d 0.8851 4 What value of z marks the bottom 10% of the distribution? a -1.28 b -1.14 c -0.72 d -0.88 5 What is the z-score that bounds a tail area of 0.05? a 0.63 b 1.53 c 1.64 d 1.58 6 What is the z-score that bounds a tail area of 0.02? a 2.58 b 2.33 c 2.15 d 2.05 7 What middle interval of z-scores contains 95% of all z-scores? a (-1.96, 1.96) b (-1.85, 1.85) c (-1.76, 1.76) d (-1.64, 1.64) Question 8-11 are related to the following: Let x be a normally distributed random variable with a mean of 20 and a standard deviation of 10. 8 What fraction of the distribution is below 0? a 0.0228 b 0.0739 c 0.0526 d 0.0321 9 What fraction of the distribution is between 8 and 17? a 0.062 b 0.142 c 0.267 d 0.173 10 What fraction of distribution is above 36? a 0.3762 b 0.0548 c 0.9826 d 0.2682 11 What value of the x axis marks the top 20% of the distribution? a 29.5 b 32.7 c 16.75 d 28.4 L+A49:K116et z be the standard normal random variable.Let z be the standard normal random variable. 1 Find P(z < 2.5) a 0.8944 b 0.9032 c 0.9115 d 0.9938 2 Find P(z > 2.5) a 0.0606 b 0.0062 c 0.0885 d 0.1151 3 Find P(-1.25 < z < 1.25) a 0.8261 b 0.5799 c 0.7888 d 0.8851 4 What value of z marks the bottom 10% of the distribution? a -1.28 b -1.14 c -0.72 d -0.88 5 What is the z-score that bounds a tail area of 0.05? a 0.63 b 1.53 c 1.64 d 1.58 6 What is the z-score that bounds a tail area of 0.02? a 2.58 b 2.33 c 2.15 d 2.05 7 What middle interval of z-scores contains 95% of all z-scores? a (-1.96, 1.96) b (-1.85, 1.85) c (-1.76, 1.76) d (-1.64, 1.64) Question 8-11 are related to the following: Let x be a normally distributed random variable with a mean of 20 and a standard deviation of 10. 8 What fraction of the distribution is below 0? a 0.0228 b 0.0739 c 0.0526 d 0.0321 9 What fraction of the distribution is between 8 and 17? a 0.062 b 0.142 c 0.267 d 0.173 10 What fraction of distribution is above 36? a 0.3762 b 0.0548 c 0.9826 d 0.2682 11 What value of the x axis marks the top 20% of the distribution? a 29.5 b 32.7 c 16.75 d 28.4

Explanation / Answer

solution:-
1. P(z < 2.5) option d.
0.9938

2.P(z > 2.5) option b
0.0062

3.Find P(-1.25 < z < 1.25) option c
P(-1.25 < z < 1.25)
P(Z<1.25)P(Z<1.25)
0.8944 - 0.1056
0.7888

4.option a.
the bottom 10% of the distribution
-1.28

5.the z-score that bounds a tail area of 0.05
option c
1.64

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