In: Statistics and Probability
The mean incubation time for a type of fertilized egg kept at a certain temperature is 20 days. Suppose that the incubation times are approximately normally distributed with a standard deviation of 1 day. Complete parts (a) through (e) below. (a) Draw a normal model that describes egg incubation times of these fertilized eggs. Choose the correct graph below. Click here to view graph b.LOADING... Click here to view graph d.LOADING... Click here to view graph a.LOADING... Click here to view graph c.LOADING... (b) Find and interpret the probability that a randomly selected fertilized egg hatches in less than 18 days. The probability that a randomly selected fertilized egg hatches in less than 18 days is . 1. (Round to four decimal places as needed.) Interpret this probability. Select the correct choice below and fill in the answer box to complete your choice. (Round to the nearest integer as needed.) A. If 100 fertilized eggs were randomly selected, . 1 of them would be expected to hatch in less than 18 days. B. If 100 fertilized eggs were randomly selected, exactly nothing would be expected to hatch on day 18. C. In every group of 100 fertilized eggs, nothing eggs would be expected to hatch in less than 18 days. (c) Find and interpret the probability that a randomly selected fertilized egg takes over 22 days to hatch. The probability that a randomly selected fertilized egg takes over 22 days to hatch is nothing. (Round to four decimal places as needed.) Interpret this probability. Select the correct choice below and fill in the answer box to complete your choice. (Round to the nearest integer as needed.) A. If 100 fertilized eggs were randomly selected, exactly nothing would be expected to hatch on day 22. B. If 100 fertilized eggs were randomly selected, nothing of them would be expected to take more than 22 days to hatch. C. In every group of 100 fertilized eggs, nothing eggs would be expected to hatch in more than 22 days. (d) Find and interpret the probability that a randomly selected fertilized egg hatches between 19 and 20 days. The probability that a randomly selected fertilized egg hatches between 19 and 20 days is nothing. (Round to four decimal places as needed.) Interpret this probability. Select the correct choice below and fill in the answer box to complete your choice. (Round to the nearest integer as needed.) A. In every group of 100 fertilized eggs, nothing eggs would be expected to hatch between 19 and 20 days. B. If 100 fertilized eggs were randomly selected, nothing of them would be expected to hatch between 19 and 20 days. C. If 100 fertilized eggs were randomly selected, exactly nothing would be expected to hatch on day 19 or on day 20. (e) Would it be unusual for an egg to hatch in less than 17 days? Why? The probability of an egg hatching in less than 17 days is nothing, so it ▼ would not would be unusual, since the probability is ▼ less greater than 0.05..