Final answer:
To find the value of k such that P(Z>k)=0.2946, use the inverse normal distribution function. For part (b), use the same approach. For part (c), use the same approach.
Step-by-step explanation:
To find the value of k such that P(Z>k)=0.2946, we can use the inverse normal distribution function. Look up the area 0.2946 in the standard normal distribution table and find the corresponding z-score. Substitute this z-score into the formula k = μ + (z)o. The value of k will be the result.
For part (b), to find the value of k such that P(Z>k)=0.40, we can use the same approach. Look up the area 0.40 in the standard normal distribution table and find the corresponding z-score. Substitute this z-score into the formula k = μ + (z)o. The value of k will be the result.
For part (c), to find the value of k such that P(−0.93>k)=0.9, we can use the same approach. Look up the area 0.9 in the standard normal distribution table and find the corresponding z-score. Substitute this z-score into the formula k = μ + (z)o. The value of k will be the result.