Probability of receiving more than three pieces of mail

Reference no: EM1316821

Q1) Number of accidents on the particular highway average 4.4 per year. Suppose that number of accidents follows Poisson distribution.

i) Determine the probability that there are exactly 4 accidents next year?

a) 0.504

b) 0.192

c) 0.375

d) 0.286

ii) Fin dout the probability that there are more than 3 accidents next year?

a) 0.389

b) 0.440

c) 0.512

d) 0.641

iii) In a current survey, 70% of human resource directors thought that it was very significant for business students to take course in business ethics. For sample of 12 human resource directors, determine the probability that at least one of them doesn't think it very significant for business students to take business ethics course?

a) 0.9833

b) 0.9521

c) 0.9862

d) 0.9714

Q2) On average, you get 2.6 pieces of junk mail a day. Suppose that number of pieces of junk mail you get each day follows Poisson distribution.

i) What is the probability that you get exactly 3 pieces of junk mail today?

a) 0.198

b) 0.233

c) 0.218

d) 0.176

ii) What is the probability of receiving more than three pieces of junk mail today?

a) 0.123

b) 0.264

c) 0.482

d) 0.242

iii) Determine the standard deviation of number of pieces of junk mail you get daily?

a) 1.61

b) 2.60

c) 6.76

d) There is not sufficient information to determine this.

iv) What is the expected number of pieces of junk mail you receive daily?

a) 6.76

b) 1.61

c) 3.22

d) 2.60

Reference no: EM1316821

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