Question

Assume that *X* is a hyper-geometric random variable with
*N* = 17, *S* = 6, and *n* = 7. Calculate the
following probabilities. **(Round your answers to 4 decimal
places.)**

**a. P(x=1)**

**b.P(x=6)**

**c.P(x≥ 2)**

Answer #1

Exercise 5-69 Algo
Assume that X is a hypergeometric random variable with
N = 19, S = 7, and n = 6. Calculate the
following probabilities. (Round your answers to 4 decimal
places.)
a. P(X=1)
b. P(X=6)
C. P(X>or equal to 2)

Let X represent a binomial random variable with n = 170 and p =
0.6. Find the following probabilities. (Do not round intermediate
calculations. Round your final answers to 4 decimal places.)
Probability
a.P(X ≤ 100)
b.P(X > 110)
c.P(105 ≤ X ≤ 115)
d.P(X = 90)

Assume that X is a binomial random variable with
n = 15 and p = 0.78. Calculate the following
probabilities. (Do not round intermediate calculations.
Round your final answers to 4 decimal places.)
Assume that X is a binomial random variable with
n = 15 and p = 0.78. Calculate the following
probabilities. (Do not round intermediate calculations.
Round your final answers to 4 decimal places.)
a.
P(X = 14)
b.
P(X = 13)
c.
P(X ≥ 13)

Assume that X is a binomial random variable with
n = 12 and p = 0.90. Calculate the following
probabilities. (Do not round intermediate calculations.
Round your final answers to 4 decimal places.
a.
P(X = 11)
b.
P(X = 10)
c.
P(X ≥ 10)

Assume that X is a Poisson random variable with
μ = 28. Calculate the following probabilities. (Do
not round intermediate calculations. Round your final answers to 4
decimal places.)
a.
P(X ≤ 16)
b.
P(X = 20)
c.
P(X > 23)
d.
P(25 ≤ X ≤ 34)

1) Suppose a random variable, x, arises from a binomial
experiment. Suppose n = 6, and p = 0.11.
Write the probability distribution. Round to six decimal places,
if necessary.
x
P(x)
0
1
2
3
4
5
6
Find the mean.
μ =
Find the variance.
σ2 =
Find the standard deviation. Round to four decimal places, if
necessary.
σ =
2) Suppose a random variable, x, arises from a binomial
experiment. Suppose n = 10, and p =...

Let X represent a binomial random variable with
n = 180 and p = 0.25. Find the following
probabilities. (Do not round intermediate calculations. Round your
final answers to 4 decimal places.)
a. P(X ≤ 45)
b. P(X = 35)
c. P(X > 55)
d P(X ≥ 50)

Let X represent a binomial random variable with n = 180 and p =
0.25. Find the following probabilities. (Do not round intermediate
calculations. Round your final answers to 4 decimal places.)
a. P(X ≤ 45)
b. P(X = 35)
c. P(X > 55)
d P(X ≥ 50)

Let X represent a binomial random variable with
n = 360 and p = 0.82. Find the following
probabilities. (Do not round intermediate calculations.
Round your final answers to 4 decimal places.
Probability
a.
P(X ≤ 290)
b.
P(X > 300)
c.
P(295 ≤ X ≤ 305)
d.
P(X = 280)

Assume that X is a Poisson random variable with μ = 39. Use
Excel’s function options to find the following probabilities. (Do
not round intermediate calculations. Round your final answers to 4
decimal places.)
a.
P(X ≤ 34)
b.
P(X = 36)
c.
P(X > 39)
d.
P(38 ≤ X ≤ 43)

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