Question

1.Suppose X is a random variable that is normally distributed with mean 5 and standard deviation 0.4. If P (X≤X0) = P (Z≤1.3). What is the value of X0.? Select one: 2.00 5.52 6.90 4.48

2.Suppose X is a random variable that is normally distributed with a mean of 5. If P (X≤3) = 0.2005, what is the value of the standard deviation? Select one: σ = 2.38 σ = −2 σ = 1.38 σ = 2

Answer #1

1. Assume the random variable x is normally distributed with
mean μ=85 and standard deviation σ=5. P(69 < x <83)
Find the indicated probability.

Assume that the random variable X is normally distributed, with
mean =59 and standard deviation of 10 compute the probability
P(56<X ≤ 68)

Suppose that the random variable x is normally distributed with
μ = 1,000 and standard deviation σ = 100.
Find each of the following probabilities. Round your z-score
calculations to 2 decimal places. Provide your probability answers
to 4 decimal places.
z-score
probability
P( x > 1257)
P( x < 1035)
P( x ≤ 700)
z-score
z-score
probability
P(1000 ≤ x ≤ 1200)
P(812 ≤ x ≤ 913)

A random variable is normally distributed with a mean of
15 and a standard deviation of 2.5.
Find P(X > 20)
Find P(X < 16.25)
Find P(13.125 < X < 17)

X is a normally distributed random variable with a mean of 4.0.
Find the standard deviation of the distribution if 59.10% of the
data lies to the right of 3.54. (Note: the diagram is not
necessarily to scale.) Group of answer choices
A. 1.0
B. 2.0
C. 0.5
D. 1.3

Assume the random variable X is normally distributed with a mean
μ = 50 and standard deviation σ = 4.5. Find the P (x > 60)
(three-decimal accuracy) Find the P (35 < x < 55)
(three-decimal accuracy) Find x so that the area below x is .12.
(one-decimal accuracy)

Assume that the random variable X is normally distributed, with
mean 80 and standard deviation 15 Compute the probability P(X >
79).

A random variable is normally distributed with a mean of
80 and a standard deviation of 6.
a) Find P(X < 75.5)
b) Find P(X > 82)
c) Find P(77 < X < 84.8)

Assume that the random variable X is normally distributed, with
mean μ = 80 and standard deviation σ = 10. Compute the probability
P(95 < X <100).
Answers:
a) 0.1093
b) 0.0823
c) 0.0441
d) 0.0606

Assume the random variable X is normally distributed with mean
μ=50 and standard deviation σ=7.
Compute the probability. Be sure to draw a normal curve with the
area corresponding to the probability shaded.
What is P(56 ≤ X ≤ 66) ?

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