1a. A random variable Z is normally distributed with mean 0 and standard deviation 1. It is known that P(Z < -1.6) = a and P(z > 2.4) = b. This is shown in the following diagram. a -1.6 2.4 Find P(-1.6

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1a.
A random variable Z is normally distributed with mean 0 and standard deviation 1. It is
known that P(Z <-1.6)= a and P(z> 2.4) = b. This is shown in the following diagram.
a
-1.6
2.4
Find P(-1.6<z<2.4). Write your answer in terms of a and b.
Transcribed Image Text:1a. A random variable Z is normally distributed with mean 0 and standard deviation 1. It is known that P(Z <-1.6)= a and P(z> 2.4) = b. This is shown in the following diagram. a -1.6 2.4 Find P(-1.6<z<2.4). Write your answer in terms of a and b.
Given that z>-1.6, find the probability that z <2.4. Write your answer in terms of a and b.
Show Transcribed Text
A second random variable X is normally distributed with mean m and standard deviation s.
It is known that P(x < 1) = a. Write down the standardized value for x = 1.
Show Transcribed Text
It is also known that P(x > 2) = b. Find s.
Transcribed Image Text:Given that z>-1.6, find the probability that z <2.4. Write your answer in terms of a and b. Show Transcribed Text A second random variable X is normally distributed with mean m and standard deviation s. It is known that P(x < 1) = a. Write down the standardized value for x = 1. Show Transcribed Text It is also known that P(x > 2) = b. Find s.
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