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·1111-12:02 PM 1. 5 POINTS) Say wliether the foilawing random variables are disc

ID: 3051838 • Letter: #

Question

·1111-12:02 PM 1. 5 POINTS) Say wliether the foilawing random variables are discrete or continucus. Random Variable () Discrete or Contin ous a. Salaries of recent School af Business graduates. b. Number of phone calls Bell Labs receives in an hour Time between each phone eall Bell abs receives d. Number of items that are defactve in a sample of 15 items e. The temperature in Lawrenceville this week 2. 3 POINTS) The randen variable las t ellowing protabilty disuDcer fix 0,15 2S a. Is this probabilty distributin id Explsin and Ist the requirements for a valid probabiity b. Calculate the expected alua ofx. c. Calculate the variance and standard deviation of x. 3. southern state, it was revealee that 10% of all automobiles in the state did (4 POINTS] In not pass inspection. Of the next ten automobiles entering the inspection station what is the probability that none will pass inspection? IThink carefuly aboutthe value of P) what is the probability that more than eieht wil pass irapection? Find the expected number of automobiles not passing inspection. Think carefuly sbout the value of pl a. b· G. d. Determine the standard deviation for the number of cars not passing inspection. PONTS) An insurance comgany has determined that each week m average of 12 dlaims What is the probsbality tat during the next week. 4. are filed in their Alanta branc a. exactly seven clnimsill be filed? b. to claims wil be fled? c. less than four claims will be filed?

Explanation / Answer

A discrete random variable X has a countable number of possible values. Example: Let X represent the sum of two dice. To graph the probability distribution of a discrete random variable, construct a probability histogram. A continuous random variable X takes all values in a given interval of numbers. Based on this answer is as below:

1. a. Discrete

b. Discrete

c. Continuous

d. Continuous

e. Continuous