Question

Usen equals=6 and p equals=0.3 to complete parts 0-6 below.

(a) Construct a binomial probability distribution with the given parameters.

x |
P(x) |
---|---|

0 |
.. |

1 |
.. |

2 |
.. |

3 |
.. |

4 |
.. |

5 |
.. |

6 |
.. |

(Round to four decimal places as needed.)

Answer #1

We are given the distribution here as:

The probabilities here are computed as:

X | P(X) | Formula |

0 | 0.1176 | =BINOM.DIST(0,6,0.3,FALSE) |

1 | 0.3025 | =BINOM.DIST(1,6,0.3,FALSE) |

2 | 0.3241 | =BINOM.DIST(2,6,0.3,FALSE) |

3 | 0.1852 | =BINOM.DIST(3,6,0.3,FALSE) |

4 | 0.0595 | =BINOM.DIST(4,6,0.3,FALSE) |

5 | 0.0102 | =BINOM.DIST(5,6,0.3,FALSE) |

6 | 0.0007 | =BINOM.DIST(6,6,0.3,FALSE) |

The first two columns is the required output here.

**The last column gives the EXCEL formula to compute the
required binomial probabilities here.**

Use n= 10 and p= 0.8 to complete parts (a) through (d)
below.
(A) Construct a binomial probability
distribution with the given parameters. (round to four decimal
places as needed.)
X
P(x)
0
1
2
3
4
5
6
7
8
9
10
(b) compute the mean and standard deviation of the random
variable using μx= ∑[x⋅P(x)] and
σx= √ ∑[x2 ⋅
P(x)]-μ2x
√= radical
μx= ______ (round to two decimal places as
needed.)
σx= _______(round...

Consider a binomial probability distribution with
pequals=0.2
Complete parts a through c below.
a. Determine the probability of exactly
three
successes when
nequals=5
Upper P left parenthesis 3 right
parenthesisP(3)equals=nothing
(Round to four decimal places as needed.)b. Determine the
probability of exactly
three
successes when
nequals=6
Upper P left parenthesis 3 right
parenthesisP(3)equals=nothing
(Round to four decimal places as needed.)c. Determine the
probability of exactly
three
successes when
nequals=7
Upper P left parenthesis 3 right
parenthesisP(3)equals=nothing
(Round to four decimal...

Given a random sample of size of
n equals =3,600
from a binomial probability distribution with
P equals=0.50,
complete parts (a) through (e) below.
Click the icon to view the standard normal table of the
cumulative distribution function
.a. Find the probability that the number of successes is greater
than 1,870.
P(X greater than>1 comma 1,870)
(Round to four decimal places as needed.)b. Find the
probability that the number of successes is fewer than
1 comma 1,765.
P(X less than<1...

Consider a binomial probability distribution with p=0.65 and
n=6. Determine the probabilities below. Round to four decimal
places as needeed.
a) P(x=2)
b) P(x< or equal to1)
c) P(x>4)

A binomial probability experiment is conducted with the given
parameters. Compute the probability of x successes in the n
independent trials of the experiment.
nequals=4040,
pequals=0.980.98,
xequals=3838
Upper P left parenthesis 38 right
parenthesisP(38)equals=nothing
(Do not round until the final answer. Then round to four
decimal places as needed.)
A binomial probability experiment is conducted with the given
parameters. Compute the probability of x successes in the n
independent trials of the experiment.
n equals 9n=9,
p equals 0.7p=0.7,
x...

Use the probability distribution to complete parts (a) and (b)
below. The number of defects per 1000 machine parts inspected
Defects 0 1 2 3 4 5 Probability 0.265 0.294 0.243 0.140 0.046 0.012
(a) Find the mean, variance, and standard deviation of the
probability distribution. The mean is ?. (Round to one decimal
place as needed.)

Assume the random variable X has a binomial distribution with
the given probability of obtaining a success. Find the following
probability given the number of trials and the probability of
obtaining a success. Round your answer to four decimal places.
P(X=4), n=6, p=0.3

Compute P(X) using the binomial probability formula. Then
determine whether the normal distribution can be used to estimate
this probability. If so, approximate P(X) using the normal
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nequals44, pequals0.4, and Xequals19 For nequals44, pequals0.4,
and Xequals19, use the binomial probability formula to find P(X).
nothing (Round to four decimal places as needed.) Can the normal
distribution be used to approximate this probability? A. No,
because StartRoot np left parenthesis 1 minus...

Assume the random variable X has a binomial distribution with
the given probability of obtaining a success. Find the following
probability, given the number of trials and the probability of
obtaining a success. Round your answer to four decimal places.
P(X<2), n=5 p=0.3

Compute P(X) using the binomial probability formula. Then
determine whether the normal distribution can be used to estimate
this probability. If so, approximate P(X) using the normal
distribution and compare the result with the exact probability.
n=54 p=0.4 and x= 17
For
nequals=5454,
pequals=0.40.4,
and
Xequals=1717,
use the binomial probability formula to find P(X).
0.05010.0501
(Round to four decimal places as needed.)
Can the normal distribution be used to approximate this
probability?
A.
No, because StartRoot np left parenthesis 1...

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