Question
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Click here to view graph b. (b) Find and interpret the probability that a randomly selected fertilized egg hatches in less than 19 days. The probability that a randomly selected fertilized egg hatches in less than 19 days is 0.1587 . (Round to four decimal places as needed.) Interpret this probability. Select the correct choice below and fill intione answer box to complete your choice. (Round to the nearest integer as needed.) A. If 100 fertilized eggs were randomly selected, exactly \( \square \) would be expected to hatch on day 19. B. If 100 fertilized eggs were randomly selected, \( \square \) of them would be expected to hatch in less than 19 days. C. In every group of 100 fertilized eggs, \( \square \) eggs would be expected to hatch in less than 19 days.

Ask by Young Stewart. in the United States
Dec 02,2024

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Tutor-Verified Answer

Answer

B. If 100 fertilized eggs were randomly selected, 16 of them would be expected to hatch in less than 19 days.

Solution

To interpret the probability that a randomly selected fertilized egg hatches in less than 19 days, we can use the probability value of 0.1587. This means that if we randomly select fertilized eggs, about 15.87% of them are expected to hatch in less than 19 days. Now, let's fill in the blanks for the choices provided: A. If 100 fertilized eggs were randomly selected, exactly \( \square \) would be expected to hatch on day 19. - This statement is not directly related to the probability of hatching in less than 19 days, so we won't fill this in. B. If 100 fertilized eggs were randomly selected, \( \square \) of them would be expected to hatch in less than 19 days. - To find this, we multiply the total number of eggs (100) by the probability (0.1587): \[ 100 \times 0.1587 = 15.87 \] Rounding to the nearest integer gives us 16. So, we fill in the blank with 16. C. In every group of 100 fertilized eggs, \( \square \) eggs would be expected to hatch in less than 19 days. - This statement is similar to B and would also be filled with 16. Thus, the correct choice is: B. If 100 fertilized eggs were randomly selected, **16** of them would be expected to hatch in less than 19 days. C. In every group of 100 fertilized eggs, **16** eggs would be expected to hatch in less than 19 days. So, the final answer is: B. If 100 fertilized eggs were randomly selected, **16** of them would be expected to hatch in less than 19 days.

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The probability you calculated indicates that there is a 15.87% chance that a randomly selected fertilized egg will hatch in less than 19 days. This means that if you were to repeat this selection process many times, you would expect about 15.87 out of every 100 randomly selected eggs to hatch before reaching that 19-day mark. For your interpretation, the most accurate choice would be: B. If 100 fertilized eggs were randomly selected, **16** of them would be expected to hatch in less than 19 days (rounding 15.87 to the nearest integer).

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