RA ZO Nable

RA ZO Nable

Answered question

2022-05-12

Answer & Explanation

Nick Camelot

Nick Camelot

Skilled2023-05-07Added 164 answers

We are given to determine the probability of P(Z<1.45) using the Table of Standard Normal distribution.
The standard normal distribution is a normal distribution with a mean of 0 and a standard deviation of 1.
Using the standard normal distribution table, we can find the corresponding probability for the given z-score of -1.45.
From the table, we can see that the area to the left of -1.4 is 0.0721 and the area to the left of -1.5 is 0.0668.
Since the standard normal distribution is a continuous probability distribution, the area to the left of any value represents the probability of the corresponding z-score being less than that value.
Therefore, the probability of P(Z<1.45) is between the probabilities for -1.4 and -1.5.
To find the exact probability, we can use linear interpolation:
P(Z<1.45)1.45(1.4)1.5(1.4)×(0.06680.0721)+0.07210.0708
Hence, the corresponding probability of P(Z<1.45) is approximately 0.0708.
Thus, the solution is completed.

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