Question

Calculate each binomial probability: (a) X = 1, n = 7, π = 0.50 (Round your answer to 4 decimal places.) P(X = 1) (b) X = 3, n = 6, π = 0.20 (Round your answer to 4 decimal places.) P(X = 3) (c) X = 4, n = 16, π = 0.70 (Round your answer to 4 decimal places.) P(X = 4)

Answer #1

Solution

Given that ,

a) p = 0.50

1 - p = 1 - 0.50 = 0.50

n = 7

Using binomial probability formula ,

P(X = x) = (_{n} C _{x}) * p^{x} * (1 -
p)^{n - x}

P(X = 1 ) = (_{7}C _{1}) * (0.50)^{1} *
(0.50)^{6}

= 0.0546875

Probability = 0.0547

b) p = 0.20

1 - p = 1 - 0.20 = 0.80

n = 6

Using binomial probability formula ,

P(X = x) = (_{n} C _{x}) * p^{x} * (1 -
p)^{n - x}

P(X = 3 ) = (_{6}C _{3}) * (0.20)^{3} *
(0.80)^{3}

= 0.08192

Probability = 0.0819

c) p = 0.70

1 - p = 1 - 0.70 = 0.30

n = 16

Using binomial probability formula ,

P(X = x) = (_{n} C _{x}) * p^{x} * (1 -
p)^{n - x}

P(X = 4 ) = (_{1}_{6}C _{4}) *
(0.70)^{4} * (0.30)^{12}

= 0.0002322

Probability = 0.0002

In a binomial distribution, n=7 and π=.15. Find the
probabilities of the following events. (Round your answers to 4
decimal places.)
(a) x=1
Probability=
(b) x≤2
Probability =
(c) x≥3
Probability=

Assume a binomial probability distribution with n=55 and π=0.28
. Compute the following: (Round all your z values
to 2 decimal places.)
a) The mean and standard deviation of the random variable.
(Round your "σ" to 4 decimal places and mean to 1 decimal
place.)
σ = ___
μ = ___
b) The probability that
X is 18 or more. (Use the rounded values found above. Round your
answer to 4 decimal places.)
c) The probability that X is 12...

Calculate each Poisson probability:
(a) P(X = 9), λ = 0.80
(Round your answer to 7 decimal places.)
Probability =
(b) P(X = 8), λ = 9.20
(Round your answer to 4 decimal
places.)
Probability =
(c) P(X = 10), λ = 8.60
(Round your answer to 4 decimal
places.)
Probability =

Assume a binomial
probability distribution with n=55n=55 and
π=0.34π=0.34 . Compute the following: (Round all
your z values to 2 decimal places.)
The mean and standard
deviation of the random variable. (Round your "σ" to 4
decimal places and mean to 1 decimal place.)
PLEASE:(
The probability that
X is 22 or more. (Use the rounded values found
above. Round your answer to 4 decimal places.)
The probability that
X is 14 or less. (Use the rounded values found
above....

Given a binomial distribution, n = 7 and π= .30. Determine the
probabilities of the following events using the binomial formula.
(Round your answers to 4 decimal places.)
A) x = 2
B) x = 3

Calculate the following binomial probability by either using one
of the binomial probability tables, software, or a calculator using
the formula below. Round your answer to 3 decimal places. P(x | n,
p) = n! (n − x)! x! · px · qn − x where q = 1 − p
P(x = 4, n
= 6, p = 0.3) =

Calculate the following binomial probability by either using one
of the binomial probability tables, software, or a calculator using
the formula below. Round your answer to 3 decimal
places.
P(x | n,
p) =
n!
(n −
x)! x!
· px ·
qn −
x where q
= 1 − p
P(x = 4, n
= 6, p = 0.2) =

Suppose that x has a binomial distribution with n
= 202 and p = 0.47. (Round np and n(1-p) answers
to 2 decimal places. Round your answers to 4 decimal places. Round
z values to 2 decimal places. Round the intermediate value (σ) to 4
decimal places.)
(a) Show that the normal approximation to the
binomial can appropriately be used to calculate probabilities about
x
np
n(1 – p)
Both np and n(1 – p) (Click to select)≥≤
5
(b)...

In a binomial distribution, n = 7 and π=0.24π=0.24 .
Find the probabilities of the following events. (Round your
answers to 4 decimal places.)
a.
x=2x
b.
x≤2x
c.
x≥3x

Calculate the following binomial probability by either using one
of the binomial probability tables, software, or a calculator using
the formula below. Round your answer to 3 decimal
places.
P(x | n,
p) =
n!
(n −
x)! x!
· px ·
qn −
x where q
= 1 − p
P(x = 3, n
= 6, p = 0.9) =

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 1 minute ago

asked 5 minutes ago

asked 12 minutes ago

asked 14 minutes ago

asked 14 minutes ago

asked 18 minutes ago

asked 23 minutes ago

asked 29 minutes ago

asked 33 minutes ago

asked 33 minutes ago

asked 34 minutes ago

asked 37 minutes ago