Question

Problem 4: The phone lines to an airline reservation systenm are occupied 50% of the time. Assume that the events that the li
0 0
Add a comment Improve this question Transcribed image text
Answer #1

given that p =0.50 n =10

a) p(x=3) = 10c3 (0.5)^3(0.5)^7 =0.1172

b)p(x>= 1) = 1-p(x=0) =0.9990

  

c) expected number = n*p

=10*0.5

=5

Add a comment
Know the answer?
Add Answer to:
Problem 4: The phone lines to an airline reservation systenm are occupied 50% of the time....
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • Question #3 (20 points): The phone lines to a rental car company are occupied 30% of...

    Question #3 (20 points): The phone lines to a rental car company are occupied 30% of the time. Assume that the events that the lines are busy on successive calls are independent. If 10 calls are placed to the rental company () What is the probability that the lines are busy for exactly 3 calls? () Caiculate the probability that at least one call gets through. (iii) What is the expected number of calls for which all lines are busy?

  • Approximately 16% of the calls to an airline reservation phone line result in a reservation being...

    Approximately 16% of the calls to an airline reservation phone line result in a reservation being made. (a) Suppose that an operator handles 10 calls. What is the probability that none of the 10 calls result in a reservation? (Give the answer to 3 decimal places.) (b) What assumption did you make to calculate the probability in Part (a)? Calls are independent. Calls are dependent. (c) What is the probability that at least one call results in a reservation being...

  • Approximately 19% of the calls to an airline reservation phone line result in a reservation being...

    Approximately 19% of the calls to an airline reservation phone line result in a reservation being made. (a) Suppose that an operator handles 10 calls. What is the probability that none of the 10 calls result in a reservation? (Give the answer to 3 decimal places.) (b) What assumption did you make to calculate the probability in Part (a)? Calls are independent. Calls are dependent. (C) What is the probability that at least one call results in a reservation being...

  • For Exercises 3-15 to 3-18, verify that the following functions are probability mass functions, and determine...

    For Exercises 3-15 to 3-18, verify that the following functions are probability mass functions, and determine the requested probabilities. 3-15. x 2 x)1/8 2/8 2/8 2/8 18 (a) P(Xs 1) (c) P(-1 X (b) P(X-2) (d) P(X--1 1) or X= 2) 3-28. The data from 250 endothermic reactions involving sodium bicarbonate are summarized as follow Final Temperature Conditions 266 K 271 K 274 K Number of Reactions 70 80 100 33. Determine the cumulative distribution function for the random variable...

  • random probability course Problem 1: [60 points) A discrete random variable has the following probability mass...

    random probability course Problem 1: [60 points) A discrete random variable has the following probability mass function 2s+ 1,2,3 Find: (a) P(x <2) (b) P(l s X<3) (c) E(x) (d) Ea/x) Problem 2: [40 points] Calls to an airline reservation system have a probability of 0.7 of connecting successfully (i.e., not obtaining a busy tone). Assume that 8 independent calls are placed to the airline. (a) What is the probability that at least one call will connect successfully? (b) What...

  • Phone calls arrive at the rate of 50 per hour at the reservation desk for Queen...

    Phone calls arrive at the rate of 50 per hour at the reservation desk for Queen City Airways. The desk manager has asked you for an analysis of the call rates and probabilities to better understand the operation and determine if more call desk workers are needed. What is the expected number of calls when calculating the probability of receiving nine calls in a 12-minute period?

  • Phone calls arrive at the rate of 36 per hour at the reservation desk for Regional...

    Phone calls arrive at the rate of 36 per hour at the reservation desk for Regional Airways. Phone calls arrive at the rate of 36 per hour at the reservation desk for Regional Airways. a. Compute the probability of receiving three calls in a 5-minute interval of time (to 4 decimals) b. Compute the probability of receiving exactly 12 calls in 15 minutes. (to 4 decimals) c. Suppose no calls are currently on hold. If the agent takes 5 minutes...

  • Phone calls arrive at the rate of 48 per hour at the reservation desk for Regional...

    Phone calls arrive at the rate of 48 per hour at the reservation desk for Regional Airways. a. Compute the probability of receiving two calls in a 10-minute interval of time. (to 4 decimals) b. Compute the probability of receiving exactly 13 calls in 15 minutes. (to 4 decimals) c. Suppose no calls are currently on hold. If the agent takes 5 minutes to complete the current call, how many callers do you expect to be waiting by that time?...

  • During the period of time that a local university takes phone-in registrations, calls come in at...

    During the period of time that a local university takes phone-in registrations, calls come in at the rate of one every two minutes. Clearly state what the random variable in this problem is? What is an appropriate distribution to be used for this problem and why? What is the expected number of calls in one hour? What is the probability of receiving three calls in five minutes? What is the probability of receiving NO calls in a 10-minute period? What...

  • An airline ticket office has two ticket agents answering incoming phone calls for flight reservations. In...

    An airline ticket office has two ticket agents answering incoming phone calls for flight reservations. In addition, one caller can be put on "hold" until one of the agents is available to take the call. If all three phone lines (both agent lines and the hold lines) are busy, a potential customer gets a busy signal, and it is assumed she calls another ticket office, so that her business is lost. The calls and attempted calls occur randomly i.e., according...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT