Question

Consider the probability distribution shown below.

x |
0 | 1 | 2 |

P(x) |
0.05 | 0.50 | 0.45 |

Compute the expected value of the distribution.

Consider a binomial experiment with

n = 7 trials

where the probability of success on a single trial is

p = 0.10.

(Round your answers to three decimal places.)

(a) Find

P(r = 0).

(b) Find

P(r ≥ 1)

by using the complement rule.

Compute the standard deviation of the distribution. (Round your
answer to four decimal places.)

A baker is deciding how many batches of muffins to make to sell in his bakery. He wants to make enough to sell every one and no fewer. Through observation, the baker has established a probability distribution.

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

1 | 0.10 |

2 | 0.30 |

3 | 0.40 |

4 | 0.20 |

What is the probability the baker will sell exactly one batch? (Enter an exact number as an integer, fraction, or decimal.)

* P*(

Consider each distribution. Determine if it is a valid probability distribution or not, and explain your answer.

(a) |
x |
0 | 1 | 2 |

P(x) |
0.24 | 0.64 | 0.12 |

No. The probabilities do not sum to 1.No. The probabilities sum to 1. Yes. The probabilities sum to 1.Yes. The probabilities do not sum to 1.

(b) |
x |
0 | 1 | 2 |

P(x) |
0.24 | 0.64 | 0.13 |

Yes. The probabilities do not sum to 1.No. The probabilities sum to 1. Yes. The probabilities sum to 1.No. The probabilities do not sum to 1.

Answer #1

Consider the probability distribution shown below.
x
0
1
2
P(x)
0.65
0.30
0.05
Compute the expected value of the distribution.
Compute the standard deviation of the distribution. (Round your
answer to four decimal places.)

Consider the probability distribution shown below.
x 0 1 2
P(x) 0.05 0.20 0.75
Compute the expected value of the distribution.
Compute the standard deviation of the distribution. (Round your
answer to four decimal places.)

Consider the following cumulative probability
distribution.
x
0
1
2
3
4
5
P(X ≤ x)
0.10
0.29
0.48
0.68
0.84
1
a. Calculate P(X ≤ 2).
(Round your answer to 2 decimal places.)
b. Calculate P(X = 2).
(Round your answer to 2 decimal places.)
c. Calculate P(2 ≤ X ≤ 4).
(Round your answer to 2 decimal places.)

You are given the probability distribution below:
x
0
1
2
3
4
p(x)
0.05
0.35
0.25
0.20
0.15
Determine the standard deviation of X. Report your
answer to three decimal places.

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=6060, p=0.20.2, X=25
Can the normal distribution be used to approximate this
probability?
A. Yes, the normal distribution can be used because np(1−p) ≥
10.
B. No, the normal distribution cannot be used because np(1−p)
< 10.
C. No, the normal distribution cannot be...

1. Compute the mean and variance of the following probability
distribution. (Round your answers to 2 decimal
places.)
x
P(x)
4
0.10
7
0.25
10
0.30
13
0.35
2. Given a binomial distribution with n = 6 and π=
.25. Determine the probabilities of the following events using the
binomial formula. (Round your answers to 4 decimal
places.)
x = 2
x = 3
3. A probability distribution is a listing of all the outcomes
of an experiment and the...

Consider a random variable X with the following probability
distribution:
P(X=0) = 0.08, P(X=1) = 0.22,
P(X=2) = 0.25, P(X=3) = 0.25,
P(X=4) = 0.15, P(X=5) =
0.05
Find the expected value of X and the standard deviation of
X.

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.
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...

Consider the following discrete probability distribution.
x
−15
−5
15
20
P(X = x)
0.52
0.13
0.16
.
Complete the probability distribution. (Round your
answer to 2 decimal places.)
P(X = 15)
c.
What is the probability that the random variable X is
positive? (Round your answer to 2 decimal
places.)
Probability
d.
What is the probability that the random variable X is
greater than −10? (Round your answer to 2...

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...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 34 seconds ago

asked 11 minutes ago

asked 11 minutes ago

asked 30 minutes ago

asked 30 minutes ago

asked 30 minutes ago

asked 33 minutes ago

asked 40 minutes ago

asked 55 minutes ago

asked 57 minutes ago

asked 57 minutes ago

asked 57 minutes ago