Question

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)

Answer #1

(A) To find

Using binomcdf(n,p,k)

it is given that n = 170, p=0.6 and k = 100

= binomcdf(170,0.6,100)

= 0.4053

Therefore, = 0.4053

(B) To find

Using P(x more than 110)= 1 - binomcdf(n,p,k)

it is given that n = 170, p=0.6 and k = 110

= 1 - binomcdf(170,0.6,110)

= 1 - 0.9091

= 0.0909

Therefore, = 0.0909

(C) To find

We can write it as

this implies

= binomcdf (170,0.6,115) - binomcdf ( 170, 0.6, 105-1)

= binomcdf (170,0.6,115) - binomcdf ( 170, 0.6, 104)

= 0.9837 - 0.6505

= 0.3332

Therefore, = 0.3332

(D) To find P(x = 90)

Using binompdf(n,p,k)

it is given that n = 170, p=0.6 and k = 90

= binompdf(170,0.6,90)

= 0.0108

**Therefore,P(x=90) = 0.0108**

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)

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)

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)

Let X be a binomial random variable with n =
100 and p = 0.2. Find approximations to these
probabilities. (Round your answers to four decimal places.)
(c) P(18 < X < 30)
(d) P(X ≤ 30)

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)

Let X be a binomial random variable with n =
8, p = 0.4. Find the following values. (Round your answers
to three decimal places.)
(a)
P(X = 4)
(b)
P(X ≤ 1)
(c)
P(X > 1)

Suppose that x is a binomial random variable with
n = 5, p = .56, and q = .44.
(b) For each value of x, calculate
p(x). (Round final
answers to 4 decimal places.)
p(0) =0.0164
p(1) =0.1049
p(2) =0.2671
p(3) =0.3399
p(4) =0.2163
p(5) =0.0550
(c) Find P(x = 3).
(Round final answer to 4 decimal
places.)
P(x = 3)
0.3399selected answer
correct
(d) Find P(x ≤ 3).
(Do not round intermediate calculations.
Round final answer to 4 decimal...

Let X be a binomial random variable with n = 10 and p = 0.2.
Find the following values. (Round your answers to three decimal
places.) (a) P(X = 4) (b) P(X ≥ 4) (c) P(X > 4) (d) P(X ≤ 4) (e)
μ = np μ = 2.00 (correct) (f) σ = npq σ = 1.265 (correct)

Let
X be a binomial random variable with parameters n = 500 and p =
0.12. Use normal approximation to the binomial distribution to
compute the probability P (50 < X ≤ 65).

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 4 minutes ago

asked 8 minutes ago

asked 12 minutes ago

asked 15 minutes ago

asked 17 minutes ago

asked 20 minutes ago

asked 21 minutes ago

asked 27 minutes ago

asked 30 minutes ago

asked 33 minutes ago

asked 36 minutes ago

asked 39 minutes ago