2917 the probability that none of these drivers are uninsured OA. 0.1985 OC, 0.2

Question

2917 the probability that none of these drivers are uninsured OA. 0.1985 OC, 0.2366 OB. 06420 O c. 0.7444 of U S. drivers are O A. 0.98 O B. 1.16 O D. 1.64 Accoring 12. 21% of nursing homes inthe United States received two stars in overal ratings on ascend to a recent study. to 5. A randorm sample of seven nursing homes was selected. What is the probability that more than one of them received five stars? O A. 0.081 O B. 0.1165 O D. 0.4506 13. The time for a professor to grade an exam is normally distributed wlth a mean of 16.3 minutes and a starvdard devialion e 4.2 minutes. What is the probability that a randomly selected exam will require less than 20 minutes to grade? O A. 0.6328 O B. 0.3715 O c. 0.9230 O D. 0.8106 14. The time for a professor to grade an exam is normally distributed with a mean of 16.3 minudes and a standard de 4.2 minutes. What is the probability that a randomly selected exam will require between 14 and 19 minutes to gr O A. 0.3804 O B. 0.5837 OC. 0.3175 O D. 0.4477

Explanation / Answer

11. n = 7

p = 0.14

mean = np = 7x0.14 = 0.98 (option A)

12. p = 0.21

P(more than 1 received 5 stars) = 1 - P(0) - P(1)

= 1 - 0.797 - 7x0.21x0.796

= 0.4506 (option D)

13. P(X < A) = P(Z < (A - mean)/ standard deviation)

p(X < 20) = P(Z < (20 - 16.3)/4.2)

= P(Z < 0.88)

= 0.8106 (optionD)

NB: please post different questions separately

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