Suppose x is a normal distribution random variable with mean 10 and standard deviation 1.5. Find a value of xo such that p(x>xo)=90%.
Group of answer choices
10+(-0.25)*1.5
10+1.28*1.5
10+(-1.28)*1.5
10+(-0.1)*1.5
Answer
Given that mean is 10 and standard deviation sd is 1.5
we have to find P(x>xo) = 90%
so, probability on lower side must be 10%
using percentile table for 10th percentile, we get z value = -1.28
So, required value of xo is given as
xo = mean + z*sd
= 10 + (-1.28)*1.5 = 8.08
therefore, option C is correct
Suppose x is a normal distribution random variable with mean 10 and standard deviation 1.5. Find...
Suppose X is a normal random variable with mean μ = 100 and standard deviation σ = 10. Find a such that P(X ≥ a) = 0.04. (Round your answer to one decimal place.) a =
Suppose the random variable X follows a normal distribution with mean μ=53and standard deviation σ=10. Calculate each of the following. In each case, round your response to at least 4 decimal places. a) P(X<43)= b) P(X>63)= c) P(48<X<68)=
1. X has a normal distribution with the given mean and standard deviation. Find the indicated probability. (Round your answer to four decimal places.) μ = 41, σ = 20, find P(35 ≤ X ≤ 42) 2. Find the probability that a normal variable takes on values within 0.9 standard deviations of its mean. (Round your decimal to four decimal places.) 3. Suppose X is a normal random variable with mean μ = 100 and standard deviation σ = 10....
Suppose X is a normal random variable with mean = 100 and standard deviation = 20. What is the Z-value for X= 90? a) 0.5 b) -0.5 c) 5 d) -5
Suppose X is a normal random variable with mean μ = 70 and standard deviation σ = 5. Find a such that P(X ≥ a) = 0.01. (Round your answer to one decimal place.) a =
Suppose the random variable X follows a normal distribution with mean µ = 84 and standard deviation σ = 20. Calculate each of the following: P(X > 100) P(80 < X < 144) P(124 < X < 160) P(X < 50) P(X > X*) = .0062. What is the value of X*?
Given a random variable X follows a Normal distribution with mean 10 and standard deviation 5, what is the probability that X lies within one standard deviation of the mean?
The random variable x has a normal distribution with standard deviation 2525. It is known that the probability that x exceeds 159159 is .90. Find the mean μ of the probability distribution.
The random variable x has a normal distribution with standard deviation 24.It is known that the probability that x exceeds 170 is .90. Find the mean μ of the probability distribution.
Suppose X is a normal random variable with mean μ = 70 and standard deviation σ = 7. Find b such that P(70 ≤ X ≤ b) = 0.3. HINT [See Example 3.] (Round your answer to one decimal place.) b =