it is estimated that .44 percent of the callers to the customer service department

1. it is estimated that .44 percent of the callers to the customer service department of Dell Inc. Will receive a busy signal. What is the probability that of today's 1200 callers at least 5 will receive a busy signal? use the poisson approximation to the binomial. 

2. The payouts for the powerball lottery and their corresponding odds and probabilities of occurrence are shown below. The price of a ticket is a dollar. Divisions Payout Odds Probability 5+Powerball $50,023,000 146,107,978 .000000006892 Match 5 214,000 3,563,610 .000000280615 4+Powerball 18,0000 584,450 .000001710345 Match 4 170 14,215 .000070098465 3+ Pwerball 170 11, 932 . 000083059255 match 3 11 294 .003463457534 2+ powerball 11 770 . 001344582574 1+ powerball 4 139 .007829800000 0+ powerball 3 71 .014674514286 a.Find the mean and standard deviation of the payout. b. If the cost of a ticket is taken into account then the mean is a loss of $? And the SD is changed or unchanged?

3. Recent information published by the US Environmental Protection Agency indicates that Honda is the manufacturer of five of the top twelve vehicles in terms of fuel economy.  a. Determine the probability distribution for the number of Hondas in a sample of 3 cars chosen from the top twelve. b. What is the likelihood that in the sample of 3 at least one Honda is included? Probability =

4. An internal study by the Technology Services department at Lahey Electronics revealed company employees receive an average of 3.3 emails per hour. Assume the arrival of these emails is approximated by the Poisson distribution. a. What is the probability Linda Lahey, company president, received exactly 1 email between 4 P.M. and 5 P.M. yesterday? b. What is the probability she received 5 or more email during the same period?

c. What is the probability she did not receive any email during the period?

5. Recent crime reports indicate that 5.2 motor vehicle thefts occur each minute in the United States. Assume that the distribution of thefts per minute can be approximated by the Poisson probability distribution. a. Calculate the probability exactly four thefts occur in a minute. b. What is the probability there are four or more thefts in a minute?

c. What is the probability there is one or less theft in a minute?

2. The payouts for the powerball lottery and their corresponding odds and probabilities of occurrence are shown below. The price of a ticket is a dollar. a.Find the mean and standard deviation of the payout. b. If the cost of a ticket is taken into account then the mean is a loss of $? And the SD is changed or unchanged?

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