Question

Let 'x' be a random variable that represents the length of time
it takes a student to write a term paper for Tonys class. After
interviewing students, it was found that 'x' has an approximately
normal distribution with a mean of µ = 7.3 hours and standard
deviation of ơ = 0.8 hours.

**For parts a, b, c, Convert each of the following x
intervals to standardized z intervals.**

**a.)** x < 7.5

z <

**b.)** x > 9.3

z >

**c.)** 5.5 < x < 8.7

< z <

**For parts d, e, f, Find the following
probabilities:** *(Use 4 decimal places)*

**d.)** P(x < 7.5) =

**e.)** P(x > 9.3) =

**f.)** P(5.5 < x < 8.7) =

Answer #1

1. (6 pts) Let x be a random variable that represents
the length of time it takes a student to write a term paper for Dr.
Adam’s sociology class. After interviewing many students, it was
found that x has an approximate normal distribution with mean = 6.8
hours and standard deviation = 2.1 hours.
Convert the x interval x 4 to a standard z
interval.
Convert the z-score interval 0 ≤ ? ≤ 2 to a raw score x
interval.

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Let x be a random variable that represents the level of glucose
in the blood (milligrams per deciliter of blood) after a 12 hour
fast. Assume that for people under 50 years old, x has a
distribution that is approximately normal, with mean μ = 60 and
estimated standard deviation σ = 44. A test result x < 40 is an
indication of severe excess insulin, and medication is usually
prescribed. (a) What is the probability that, on a single...

Let x be a random variable that represents the level of glucose
in the blood (milligrams per deciliter of blood) after a 12 hour
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distribution that is approximately normal, with mean μ = 79 and
estimated standard deviation σ = 32. A test result x < 40 is an
indication of severe excess insulin, and medication is usually
prescribed. (a) What is the probability that, on a single...

Let x be a random variable that represents the level of
glucose in the blood (milligrams per deciliter of blood) after a 12
hour fast. Assume that for people under 50 years old, x
has a distribution that is approximately normal, with mean
μ = 56 and estimated standard deviation σ = 42. A
test result x < 40 is an indication of severe excess
insulin, and medication is usually prescribed.
(a) What is the probability that, on a single...

Let x be a random variable that represents the level of
glucose in the blood (milligrams per deciliter of blood) after a
12-hour fast. Assume that for people under 50 years old, x
has a distribution that is approximately normal, with mean
μ = 92 and estimated standard deviation σ = 40. A
test result x < 40 is an indication of severe excess
insulin, and medication is usually prescribed.
(a) What is the probability that, on a single test,...

Let x be a random variable that represents the level of glucose
in the blood (milligrams per deciliter of blood) after a 12 hour
fast. Assume that for people under 50 years old, x has a
distribution that is approximately normal, with mean μ = 62 and
estimated standard deviation σ = 31. A test result x < 40 is an
indication of severe excess insulin, and medication is usually
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(a) What is the probability that, on a single...

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(a) Find the appropriate value of k.
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(c) Sketch the graphs of the pmf P(x) and of the cdf F(x).
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(a) What is the probability that, on a single test, x
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