40) The lengths of pregnancies of humans are normally distributed with a mean of

Question

40) The lengths of pregnancies of humans are normally distributed with a mean of 268 days and a standard deviation of 15 days. Find the probability of a pregnancy lasting more than 300 days. 40) A) 0.9834 B) 0.2375 C) 0.3189 D) 0.0166 e an appropriate response. 41) Find the z-score that is greater than the mean and for which 70% of the distribution's area lies to its 41) left. A) 0.53 B) 0.47 C) 0.81 D) 0.98 42) Find the critical value, tc, for c-0.95 and n 16. 42)- A) 2.120 B) 2.602 C) 2.131 D) 2.947 43) Find the critical value, tc for c = 0.99 and n = 10. 43)_ A) 2.262 B) 1.833 C) 3.169 D) 3.250 4) A study of 1000 randomly selected flights of a major airline showed that 769 of the flights arrived 4) on time. What is the probability of a flight arriving on time? B) 231 1000 1000 231 1000 769 769 1000 A) C) D)

Explanation / Answer

40)P(X>300)=P(Z>(300-268)/15)=P(Z>2.13)=0.0166

option D

41)P(Z<z)= 0.70

tehrefore z score at 70th percentile =0.53

option A

42)from t distirbution at (n-1=15 ) degree of freedom and 95% CI ; critical t =2.131

option C

43))from t distirbution at (n-1=9 ) degree of freedom and 99% CI ; critical t =3.250

option D

44)probability =favourable event/total evenmt =769/1000

option D

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