Question
In: Statistics and Probability
Consider the standard normal distribution with mean = 0, and standard deviation = 1...
Consider the standard normal distribution with mean = 0, and standard deviation = 1
a. What is the probability that an outcome z is greater than 2.20? b. What is the probability that z is less than 1.1? c. What is the probability that z is between -1.03 and 0.84? d. What value of z cuts off the upper 23% of the standard normal distribution? e. What value of z cuts off the lower 18% of the standard normal distribution?
Solutions
Expert Solution
a) = P(Z > 2.20 ) = P( Z < -2.200 ) = 0.0139 (answer)
b) =P(Z < 1.10 ) = 0.8643 (answer)
c) P ( -1.030 < Z <
0.840 )
= P ( Z < 0.840 ) - P ( Z
< -1.03 ) =
0.7995 - 0.1515 =
0.6480 (answer)
d) Z value at 0.77 = 0.7388 (excel formula =NORMSINV( 0.77 ) )
e) Z value at 0.18 = -0.9154 (excel formula =NORMSINV( 0.18 ) )
orchestra answered 2 years agoRelated Solutions
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Given a standardized normal distribution (with a mean of 0 and
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b. What is the probability that Z is greater than 1.85?
The probability that Z is greater than 1.85 is .0322 (Round to
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Given a standardized normal distribution (with a mean of 0 and a standard deviation of 1),...
Given a standardized normal distribution (with a mean of 0 and a
standard deviation of 1), what is the probability that:
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b. Z is less than -1.57 or greater than 1.84
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d. Between what two values of Z (symmetrically distributed
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Given a standardized normal distribution (with a mean of 0 and a standard deviation of 1)...
Given a standardized normal distribution (with a mean of 0 and a
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b. The probability that Z is greater than 1.81 is________
c. The probability that Z is between -1.59 and 1.81 is______
d. The probability that Z is less than -1.59 or greater than
1.81______
given a standardized normal distribution (with a mean of 0 and a standard deviation of 1)...
given a standardized normal distribution (with a mean
of 0 and a standard deviation of 1) determine the following
probabilities.
A. p(Z>1.03)
b. P(Z < -0.23)
C. P( -1.96 <Z < -0.23)
D. what is the value of Z if only 11.51% of all
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given a standardized normal distribution(with a mean of 0 and a standard deviation of 1) complete...
given a standardized normal distribution(with a mean
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Question 4 options: P(x<=50) = .50
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