Question
Asked Oct 10, 2019
3 views

involving the computation of probabilities for Bernoulli trials. 

(1) At least 7 successes in 10 trials with p = 0.3 



(2) At least 4 failures in 8 trials with p = 0.55

 

check_circle

Expert Answer

Step 1

Introduction:

If X ~ Bin (n, p), then X represents the number of successes in n trials with probability of success in each trial being p, and the probability mass function of X is:

p (x) = (nCx) px (1 – p)nx; for x = 0, 1, …, n; 0 < p <1; p (x) is 0 otherwise.

Step 2

Part a:

Here, number of trials is the sample size, n = 10.

The probability of success is, p = 0.3.

Thus, the probability of at least 7 successes in 10 trials with p = 0.3 is:

P (X ≥ 7)

= 1 – P (X < 7)

= 1 – P (X ≤ 6)

≈ 1 – 0.9894 [P (X ≤ 6), using Excel...

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Math

Statistics

Related Statistics Q&A

Find answers to questions asked by student like you
Show more Q&A
add
question_answer

Q: 25. Each year America.EDU ranks the best paying college degrees in America. The following data show ...

A: Enter the data in excel as shown below

question_answer

Q: The table below summarizes results from a study of people who refused to answer survey questions. A ...

A: The completed table is shown below.

question_answer

Q: The average amount of money spent for lunch per person in the college cafeteria is $7.39 and the sta...

A: Hey there! Thank you for posting the question. Since your question has more than 3 parts, we are sol...

question_answer

Q: Researchers conducted a study to determine whether there were significant differences in graduation ...

A: a) Computation of probability that at least 13 of the students graduated in a randomly selected 14:I...

question_answer

Q: A political candidate has asked you to conduct a poll to determine what percentage of people support...

A: Here, there is no information about the population parameter. Hence, use the conservative estimate p...

question_answer

Q: A study looking at symptoms and care-seeking behavior in African-American patients with chest pain, ...

A: Hypothesis Formulation:Null Hypothesis generally contains the '=' sign while the alternate hypothesi...

question_answer

Q: Six people, named Anna, Bob, Chandra, Darlene, Ed, and Frank, will be interviewed for a job. The int...

A: Click to see the answer

question_answer

Q: assume that woman have diastolic blood pressure measures that are normally distributed with a mean o...

A: From the given information, let us define the random variable X as diastolic blood pressure levels o...

question_answer

Q: Suppose the age that children learn to walk is normally distributed with mean 13 months and standard...

A: It is given that the age that children to walk is normally distributed with mean 13 months and stand...