Question #281346

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

1
Expert's answer
2021-12-20T16:03:58-0500

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 (μ)=2.5,(\mu)=2.5, S.D (σ)=2(\sigma)=2

P(X<1.5)=P(Z<1.52.52)=P(Z<0.5)=0.3085P(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.


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