Question

Need help with # 7

You know that a person is employed. What is the conditional probability that he or she is a college graduate? e ds 374523101 ) You know that a different person is a college graduate. What is the conditional probability that he or she is employed? 5. In a standard normal distribution, what proportion of values is greater than z 2.07? 6. What z-score is at the 40 percentile of a standard normal distribution? -0, 263 0.2 53 7. In a normal distribution with mean 21 and SD 3.1, what prope s than 16 Cattle. The Virginia Cooperative Extension reports that the mean weight of yearling Angus steers is 1148 pounds. Suppose that weights of all such animals can be described by a Normal model with a standard deviation of 87 pounds. That is, if the random variable X' is the weight of a steer, X-N(1148,87). Using this information, answer the questions below 8. a) How many standard deviations from the mean would a steer weighing 1000 pounds be? N2112 Z-man/1 SD 87 ds or one weighing 1250 Which would be n z-x-mem) ISO b) c 1250 P(ze-1,ר0115)-о.oyy ys 7122(reso-Hr) /r7 weight would you consider to be unusually low for a steer? Explain your Weight choice 6S is-1.brs X8(-164485)87 H 898

Answer 1

7)

Solution :

Given that ,

mean = $\mu$ = 21

standard deviation = $\sigma$ = 3.1

P(x < 16) = P((x - $\mu$ ) / $\sigma$ < (16 - 21) / 3.1)

= P(z < -1.6129)

= 0.0534

Proportion = 0.0534