Question

The mean incubation time for a type of fertilized egg kept at a certain temperature in 15 days Suppose that the incubation times are approximately normally distributed with a standard deviation of 2 days. Complete parts (a) through (d) below. (a) Find and interpret the probability that a randomly selected fertilized egg hatches in less than 11 days to the Student Notebook The probability that a randomly selected fertilized egg hatches in less than 11 days is (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.) Workbook A if 100 fertilized eggs were randomly selected of them would be expected to hatch in less than 11 days D I 100 fertilized eggs were randomly selected, exactly would be expected to hatch on day 11 edia Library C. In every group of 100 fertilized eggs eggs would be expected to hatch in less than 11 days - Success b) Find and interpret the probability that a randomly selected fortilized egg takes over 19 days to hatch

Answer 1

(a)

${\color{DarkRed} P(X\le 11) =0.0228}$

${\color{DarkRed} \text{Option A : 2 of them would be expected to hatch in less than 11 days}}$

Calculations:

The following information has been provided: A = 15, J = 2 We need to compute Pr(X <11). The corresponding z-value needed to be computed: z=Y="_ 11-15 = -2 Therefore, Pr(X < 11) = Pr(z < 11,15) = Pr(Z < -2) = 0.0228

(b)

The following information has been provided: 4 = 15, 0 = 2 We need to compute Pr(x > 19). The corresponding z-value needed to be computed is: X-u - 19 – 15 Z =- = - = 2 Therefore, we get that 19 Pr(X > 19) = Pr (2> ) = Pr(Z > 2) = 1-0.9772 = 0.0228

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