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 =
Suppose X is a normal random variable with mean μ = 70 and standard deviation σ...
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 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 =
X is a normal random variable with mean μ and standard deviation σ. Then P( μ− 1.6 σ ≤ X ≤ μ+ 2.6 σ) =? Answer to 4 decimal places.
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)=
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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....
Given that x is a normal variable with mean μ = 51 and standard deviation σ = 6.1, find the following probabilities. (Round your answers to four decimal places.) (a) P(x ≤ 60) (b) P(x ≥ 50) (c) P(50 ≤ x ≤ 60)
Given that x is a normal variable with mean μ = 113 and standard deviation σ = 14, find the following probabilities. (Round your answers to four decimal places.) (a) P(x ≤ 120) (b) P(x ≥ 80) (c) P(108 ≤ x ≤ 117)
Given that x is a normal variable with mean μ = 44 and standard deviation σ = 6.1, find the following probabilities. (Round your answers to four decimal places.) (a) P(x ≤ 60) (b) P(x ≥ 50) (c) P(50 ≤ x ≤ 60)?