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Ad A Textnow TextNow Free Local Phone Number With Unlimited Texting & Calling Send Free Picture & Video Messages Textnow Freunding Og Download Now Install Now! LEVEL: 100 INSTRUCTIONS: Attempt ALL Questions And Submit Via UEW/LMS PLATFORM 1. (A) For The Experiment Of Flipping A Coin Three Times; (1) Present The Discrete Probability Distribution For The
Ad TextNow Free Local Phone Number with textnow Unlimited Texting & Calling Install Now! Send free picture & video messages Freig Download Now LEVEL: 100 INSTRUCTIONS: Attempt ALL questions and submit via UEW/LMS PLATFORM 1. (a) For the experiment of flipping a coin three times; (i) present the discrete probability distribution for the random variable number of heads as a probability table. (ii) determine the mean for the distribution (iii) find the variance for the distribution. marks] [4 marks] [3 marks] [3 (b) An insurance company sells life insurance of GHC15,000.00 for a premium of GHC310.00 per year. Actuarial tables show that the probability of death in the year following the purchase of the policy is 0.1%. What is the expected gain for this type of policy? [8 marks] (c) (i) DESA Early Childhood researcher published that 5% of all births by university student's result in boys. The university selected a sample of 12000 births at random, find the mean, variance, and standard deviation of the number of births that would result in boys. [9 marks] (ii) DESA secretariat receives, on average, 3 calls per hour on its general office number from members for enquiry purposes. For any given hour, find the probability that the secretary will receive the following. (a) At most 3 calls WED. 5TH AUGUST, 2020 1 (B) At least 3 calls (Y) 5 or more calls WEdit with WPS Office [5 marks] Page 1 of [4 marks] [4 marks] 2. (a) A court is conducting a jury selection. Let x be the number of prospective jurors who will be examined until one is admitted as a juror for a trial. Suppose that x is a geometric random variable and P, the probability of juror being admitted is 50%, find; (i) the mean and standard deviation marks] [7 (ii) the probability that more than two prospective jurors must be examined before one is admitted to the jury. [13 marks] (b) A manager must select a committee of three from his staff of six men and four textnow
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