Question

A switchboard at some company receives calls following a probability distribution shown below where the number...

A switchboard at some company receives calls following a probability distribution shown below where the number of calls and the probability of receiving those calls are recorded.

x 0 1 2 3 4 5 6 7 8 P(x) 0.04 0.05 0.15 0.02 0.28 0.03 0.20 0.11 0.12

x 0 1 2 3 4 5 6 7 8
p(x) 0.04 0.05 0.15 0.02 0.28 0.03 0.20 0.11 0.12

a. Calculate the probability that the switchboard receives:

i. Less than four calls.

ii. Between 1 and 7 calls inclusive.

iii. At least 5 calls.

iv. More than two calls.

b. Calculate the expected number of calls received at the switchboard.

c. Calculate the variance and standard deviation of the distribution.

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

Thank You !

Please help me out by giving thumbs up.

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Suppose that the following table contains the complete probability distribution for the number of credit cards...
Suppose that the following table contains the complete probability distribution for the number of credit cards owned by adults in a certain country. Complete parts a and b to the right. Number_of_Credit_Cards Probability 0 0.29 1 0.26 2 0.11 3 0.09 4 0.08 5 0.06 6 0.05 7 0.03 8 0.02 9 0.01 a) compute the mean number of credit cards: b) compute the standard deviation.
4) - 6) Thickets. The following discrete probability distribution represents the number of speeding tickets in...
4) - 6) Thickets. The following discrete probability distribution represents the number of speeding tickets in the past 12 months   X 0 1 2 3 P(X) 0.85 0.11 0.02 0.02    Compute the mean. 0.37 1.5 0.25 0.21 X 0 1 2 3 P(X) 0.85 0.11 0.02 0.02 Compute the variance 0.3249 0.57 0.3258 0.3259   X 0 1 2 3 P(X) 0.85 0.11 0.02 0.02 Compute the standard deviation. 0.5709 0.37 0.5710 0.58
Given the following probability distribution on the number of books a customer entering a bookstore will...
Given the following probability distribution on the number of books a customer entering a bookstore will purchase: Books, X p(X) (1) 0.16 (2) 0.22 (3) 0.28 (4) 0.20 (5) 0.14 Calculate the mean (rounded to the nearest whole number), variance and standard deviation for this probability distribution.
For the probability distribution below find the mean, variance, and standard deviation. ? P(?) ?P (?)...
For the probability distribution below find the mean, variance, and standard deviation. ? P(?) ?P (?) ?2P(?) 0 0.15 1 0.20 2 0.35 3 0.22 4 0.08      The probability distribution shows the cups of beer American Adults consume every week. Find the expected value of cups of wine American Adults consume every week. ? P(?) ?P(?) 0 0.4 1 0.1 2 0.3 5 0.12 10 0.05
The following table contains the probability distribution for the number of traffic accidents daily in a...
The following table contains the probability distribution for the number of traffic accidents daily in a small town. Complete parts​ (a) and​ (b) to the right. Number of Accidents Daily​ (X) ​P(X) 0 0.19 1 0.28 2 0.22 3 0.12 4 0.09 5 0.06 6 0.04 a. Compute the mean number of accidents per day. μ =1.98 correct b. Compute the standard deviation. **** dont know the answer below**** σ =___________ Determine the mean and standard deviation of the variable...
The probability distribution of the number of accidents in North York, Ontario, each day is given...
The probability distribution of the number of accidents in North York, Ontario, each day is given by x 0 1 2 3 4 5 P(x) 0.20 0.15 0.25 0.15 0.20 0.05 a) Based on this distribution, what would be the expected number of accidents on a given day? A: 1.81 B: 1.47 C: 2.15 D: 4.62 b) Based on this distribution, what is the approximate value of the standard deviation of the number of accidents per day? A: 2.15 B:...
Consider the following bivariate distribution p(x, y) of two discrete random variables X and Y. Y\X...
Consider the following bivariate distribution p(x, y) of two discrete random variables X and Y. Y\X -2 -1 0 1 2 0 0.01 0.02 0.03 0.10 0.10 1 0.05 0.10 0.05 0.07 0.20 2 0.10 0.05 0.03 0.05 0.04 a) Compute the marginal distributions p(x) and p(y) b) The conditional distributions P(X = x | Y = 1) c) Are these random variables independent? d) Find E[XY] e) Find Cov(X, Y) and Corr(X, Y)
A mail-order computer software business has six telephone lines. Let x denote the number of lines...
A mail-order computer software business has six telephone lines. Let x denote the number of lines in use at a specified time. The probability distribution of x is as follows: X P(x) 0 0.11 1 0.17 2 0.20 3 0.25 4 0.15 5 0.08 6 0.04 Calculate the probability of: (a). at most three lines are in use. (b). fewer than three lines are in use. (c). at least three lines are in use. (d). between two and five lines...
The following table contains the probability distribution for the number of traffic accidents daily in a...
The following table contains the probability distribution for the number of traffic accidents daily in a small town. Complete parts​ (a) and​ (b) to the right. Number of accidents daily (x) P(X) 0 0.30 1 0.37 2 0.16 3 0.07 4 0.05 5 0.04 6 0.01 a. Compute the mean number of accidents per day. b. Compute the standard deviation.
The following table lists the probability distribution of a discrete random variable x: x = 0,1,2,3,4,5,6,7...
The following table lists the probability distribution of a discrete random variable x: x = 0,1,2,3,4,5,6,7 P(x) = 0.04, 0.11, 0.18, 0.22, 0.12, 0.21, 0.09, 0.03 a. The probability that x is less then 5: b. The probability that x is greater then 3: c. The probability that x is less than or equal ti 5: d. The probability that x is greater than or equal to 4: e. The probability that x assumes a value from 2 to 5:...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT