Question

(Q6) A coin is biased so that the probability of tossing a head is 0.45. If this coin is tossed 55 times, determine the probabilities of the following events. (Round your answers to four decimal places.)

(a) The coin lands heads more than 21 times.

(b) The coin lands heads fewer than 28 times.

(c) The coin lands heads at least 20 times but at most 27 times.

(Q7) A company finds that one out of three employees will be late to work on a given day. If this company has 41 employees, find the probabilities that the following number of people will get to work on time. (Round your answers to 4 decimal places.)

(a) Exactly 28 workers or exactly 32 workers.

(b) At least 25 workers but fewer than 30 workers.

(c) More than 23 workers but at most 32 workers.

Answer 1

dear student, please post the question one at a time.

6)  the probability of tossing a head is P= 0.45

total number of trials, N=55

a) The probability that the coin lands head more than 21 times =

b)The probability that the coin lands head fewer than 28 times.

c) The probability that the coin lands head at least 20 times but at most 27 times=