Find the probability that P(0.35 ≤ Z ≤ 2.18)
To find the probability that P(0.35 ≤ Z ≤ 2.18), where Z is a standard normal random variable, you can use the standard normal distribution table or a calculator that provides standard normal probabilities.
Using the standard normal distribution table, you need to look up the probabilities for each value separately and subtract them.
The probability for Z ≤ 2.18 is 0.9857, which you can find in the table.
The probability for Z ≤ 0.35 is 0.6368.
To find the probability for 0.35 ≤ Z ≤ 2.18, you subtract the probability for Z ≤ 0.35 from the probability for Z ≤ 2.18:
P(0.35 ≤ Z ≤ 2.18) = 0.9857 - 0.6368 = 0.3489
Therefore, the probability that P(0.35 ≤ Z ≤ 2.18) is approximately 0.3489.