5. Question Details My NotesAsk Your Teacher Consider a binomial distribution wi

Question

5. Question Details My NotesAsk Your Teacher Consider a binomial distribution with 10 trials. Look at a binomial probability distribution table showing binomial probabilities for various values of p, the probability of success on a single trial. (a) For what value of p is the distribution symmetric? What is the expected value of this distribution? Is the distribution centered over the value? No (b) For small values of p, is the distribution skewed right or left? right left (c) For large values of p, is the distribution skewed right or left? right left

Explanation / Answer

Q5) For p = 0.5, distribution is symmetric

Expected value of distribution = 10*0.5 = 5

Yes, the distribution is centred over value

b) Small values of p, distribution is right skewed

c) Large values of p, distribution is left skewed

Q6) a) P(z<(3-5.3)/1.1)

= 0.0183

b) P(z>(7-5.3)/1.1)

= 0.0611

c) P((3-5.3)/1.1<z<(7-5.3)/1.1)

= 0.9206

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