1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ale4655 [162]
3 years ago
11

A particular telephone number is used to receive both voice calls and fax messages. Suppose that 20% of the incoming calls invol

ve fax messages, and consider a sample of 20 incoming calls. (Round your answers to three decimal places.) (a) What is the probability that at most 7 of the calls involve a fax message?
English
1 answer:
denis23 [38]3 years ago
8 0

Solution:

Total no. of incoming calls, n = 20

Probability of incoming calls with fax messages, p = 20% = 0.20

q = (1 - p) = 0.80

(a) Now, let 'r' be the no. of incoming calls with fax messages, then by Binomial distribution of probability mass function:

P(X = r) = _{r}^{n}\textrm{C} p^{r}q^{n - r}                (1)

P(X ≤ 7) = _{0}^{20}\textrm{C} (0.20)^{0}(0.80)^{20} +...... + _{7}^{20}\textrm{C} (0.20)^{7}(0.80)^{13}

P(X ≤ 7) = 0.0115 +........+ 0.0545

Total no. of incoming calls, n = 20

Probability of incoming calls with fax messages, p = 20% = 0.20

q = (1 - p) = 0.80

(a) Now, let 'r' be the no. of incoming calls with fax messages, then by Binomial distribution of probability mass function:

P(X = r) = _{r}^{n}\textrm{C} p^{r}q^{n - r}                (1)

P(X ≤ 7) = _{0}^{20}\textrm{C} (0.20)^{0}(0.80)^{20} +...... + _{7}^{20}\textrm{C} (0.20)^{7}(0.80)^{13}

P(X ≤ 7) = 0.0115 + 0.0545

P(X ≤ 7) = 0.9689

probability that atmost 7 of the calls are with fax is 0.9689

You might be interested in
Good heavens, something's wriggling out of the shadow like a gray snake. Now it's another one, and another. They look like tenta
Anika [276]

The correct answer on apex is A. Present tense

5 0
3 years ago
Read 2 more answers
Why does Eliezer lie to stein about his family?
KATRIN_1 [288]

Answer:

Because he could tell that he was upset, so he wanted to make it better. In this scene, Stein looked for Eliezer's father because he thought he remember him, but he didn't. He then asked about his wife and children, and Elie wanted to make him happy, so he lied.

Explanation:

4 0
3 years ago
Why would you want to use a comma+conjunction to separate two independent clauses?
Juli2301 [7.4K]

Answer:

B. The subject and topic are similar, so they belong together in the same sentence.

Explanation:

6 0
3 years ago
Which quote from chapter 1 best reveals how Mr. Bennet regards his wife, Mrs. Bennet? (RL.1.3)
Blizzard [7]

The quote from Chapter 1 that best reveals how Mr. Bennet regards his wife, Mrs. Bennet is:

A. "You mistake me, my dear. I have high respect for your nerves. They are my old friends. I have heard you mention them with consideration these last twenty years at least."

This question is related to Pride and Prejudice.

<h3>About Pride and Prejudice</h3>

'Pride and Prejudice' is a story written by Jane Austen. The story reveals the relationship that existed between Elizabeth Bennet and Fitzwilliam Darcy.

Mrs. Bennet, the mother of Elizabeth Bennet was bent on her daughters getting married. But Mr. Bennet was indifferent about it.

Mrs. Bennet was yet to know her husband very well. So, Mr. Bennet actually stated that he had high regard for his wife. This reveals that despite how ridiculous his wife is, he still respects her.

Learn more about Pride and Prejudice on brainly.com/question/13285039

7 0
3 years ago
What circumstances lead the vicomte to reduce the rent in the apartment​
Vlada [557]

Victome lowers the rent of the apartment because of his kindness and generosity.

Explanation:

'An accursed house' is a story which is written by the French writer Emile Gabriau. The story is a critical study of the society and our understanding of human greed.

When Victome acquires his great uncle''s inheritance and with it the apartment in question, he decides to lower the high rent that is extracted from it so as to make it more affordable for people to live there.

Be cause people take his generosity for shady behavior, they wonder if something is wrong with the apartment and then the story goes wrong for Victome.

7 0
3 years ago
Other questions:
  • Prompt
    7·1 answer
  • Sammy paraphrase an article for his class, To paraphrase correctly, Sammy must
    13·1 answer
  • Which line from the prologue of Romeo and Juliet reveals the ending of the play?
    14·2 answers
  • Need help with classification essay
    12·1 answer
  • Discuss three contributions that sir issac newton made to Marh and Science.
    10·1 answer
  • The early American novels were novels of sentiment dealing with domestic situations.
    8·2 answers
  • Hold the flag high in a story
    12·2 answers
  • To Kill a Mockingbird
    13·1 answer
  • There has always been tension between the Indian and British people because of the British People's colonial rule in India from
    6·1 answer
  • Paul Bunyan and seven wonders of the world
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!