Describe the number of phone calls received from customers

Assignment Help Basic Statistics

Reference no: EM133217855

Assignment:

An intemet service provider info-center receives customers complains via phone The probability model below describes the number of phone calls received from customers during an hour X:Phone calls received.

0 1 2. 3. 4. 5

P(X=x)

0.15

0.04

0.05

0.27

0.40

0.09

(a) What is the mean of the number of phone calls an employee expect to reccive in a given hour? (Expected value-mean)?

(b) What is the variance of the number of phone calls an employee expect to receive in a given hour?

Formula for Mean = €x.px. Variance= €x2.Px-mean square

Question 2. A Pharmaccutical company claims that a new drug is effective against COVID-19. 60% of the time. The drug is tested on 24 selected patients.

2) Use the Binomial distribution to find the probability that exactly 16 patients recovered from COVID-19? (Round your answer to the nearest thousandth).

a) What is the mean of the number of patients who recovered from COVID-19?

b) What is the variance of the number of patients who recovered from COVID-19?

Binomial formula P(x)=nCx¥x(1-¥)n-x

Question 3:

An airline knows from experience that the distribution of the number of suitcases that get lost each week on a certain route is normal with (mean) u = 15.5 and (Standard Deviation) G = 3.6.

What is the probability that during a given week the airline will lose between 11 and 19 suitcases?

Formula z= X-mean/variance

Reference no: EM133217855

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