Question

Given that x is a normal variable with mean μ = 43 and standard deviation σ = 6.7, find the following probabilities. (Round your answers to four decimal places.) (a) P(x ≤ 60) (b) P(x ≥ 50) (c) P(50 ≤ x ≤ 60)

Answer #1

Use normal probability table for finding probability of z

Given that x is a normal variable with mean μ
= 43 and standard deviation σ = 6.5, 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
= 51 and standard deviation σ = 6.5, 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
= 48 and standard deviation σ = 6.2, 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 = 48 and standard
deviation σ = 6.3, find the following probabilities. (Round your
answers to four decimal places.) (
a) P(x ≤ 60)
(b) P(x ≥ 50)
(c) P(50 ≤ x ≤ 60)
Please break down explanation a-c.

Given that x is a normal variable with mean μ = 52 and standard
deviation σ = 6.4, find the following probabilities. (Round your
answers to four decimal places.) (a) P(x ≤ 60) Incorrect: Your
answer is incorrect. (b) P(x ≥ 50) Incorrect: Your answer is
incorrect. (c) P(50 ≤ x ≤ 60) Incorrect: Your answer is
incorrect.

Given that x is a normal variable with mean μ = 111 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)

(1)Given that x is a normal variable with mean μ = 52 and
standard deviation σ = 6.9, find the following probabilities.
(Round your answers to four decimal places.) (a) P(x ≤ 60) (b) P(x
≥ 50) (c) P(50 ≤ x ≤ 60) (2) Find z such that 15% of the area under
the standard normal curve lies to the right of z. (Round your
answer to two decimal places.) (3) The University of Montana ski
team has six entrants...

Given that x is a normal variable with mean μ = 108 and standard
deviation σ = 14, find the following probabilities.
(a) P(x ≤ 120)
(b) P(x ≥ 80)
(c) P(108 ≤ x ≤ 117)

A normal random variable x has mean μ = 1.6 and standard
deviation σ = 0.19. Find the probabilities of these X-values.
(Round your answers to four decimal places.)
1.00 < X < 1.20
X > 1.37
1.35 < X < 1.50

7. A normal random variable x has mean μ = 1.7
and standard deviation σ = 0.17. Find the probabilities of
these X-values. (Round your answers to four decimal
places.)
(a) 1.00 < X <
1.60
(b) X > 1.39
(c) 1.25 < X < 1.50
8. Suppose the numbers of a particular type of bacteria in
samples of 1 millilitre (mL) of drinking water tend to be
approximately normally distributed, with a mean of 81 and a
standard deviation of 8. What...

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