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bank's loan officer rates applicants for credit. The ratings are normally distributed with a mean of 200 and a standard deviation of 50. If an applicant is randomly selected, find the probability of a rating that is between 170 and 220. Round your answer to four decimal places. Click to view page 1 of the table. Click to view page 2 of the table. O A. 0.2257O B. 0.1554O C. 0.0703 0 O D. 0.3811

Answer :

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The probability of rating between 170 and 220 is 0.3811.

What is meant by probability?

Probability is synonymous with possibility. It is a mathematical branch that deals with the occurrence of a random event. The value ranges from zero to one. Probability has been introduced in mathematics to predict the likelihood of events occurring.

Probability is defined as the degree to which something is likely to occur. This is the fundamental probability theory, which is also used in probability distribution, in which you will learn about the possible outcomes of a random experiment. To determine the likelihood of a single event occurring, we must first determine the total number of possible outcomes.

Let the given values be

Mean = 200

Standard Deviation = 50.

Points given= 170 and 220.

We should find z-score first,

Z1 = (170-200)/50 = -0.6 will be 0.2743

Z2 = (220-200)/50 = 0.4 will be 0.6591

The probability of a rating between 170 and 220 will be:

= 0.6554 - 0.2743

= 0.3811

The probability of a rating between 170 and 220 exists 0.3811.

Therefore, the correct answer is option D. 0.3811.

To learn more about probability refer to:

https://brainly.com/question/15322853

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