Answer to Question #281346 in Statistics and Probability for Bernabe jun

Question

1. what is the probability that a randomly selected mango will weigh less than 1.5 kilos?

Answer 1

Incomplete question.

Let us take an example related to this.

Q. There are 100 mangoes in a shipment. It is found that it a mean weight of 2.5 kilos with a standard deviation of 2 kilos. what is the probability that a randomly selected mango will weigh less than 1.5 kilos?

A.

Given: Mean $(\mu)=2.5,$ S.D $(\sigma)=2$

$P(X<1.5)\\ =P(Z<\frac{1.5-2.5}{2})\\ =P(Z<-0.5)\\ =0.3085\\$

Hence, the probability that a randomly selected mango will weigh less than 1.5 kilos is 0.3085.