Assume that the weights of ripe watermelons grown at a particular farm are normally distributed with a mean of 30 pounds and a s

Question

2 years ago

10

tandard deviation of 1.9 pounds. If the farm produces 400 watermelons, how many will weigh less than 27.87 pounds?

1 answer:

Burka [1] · Answer 1 · 2023-05-18T14:37:48+03:00

<h2>Given↷</h2>

Number of watermelons out of 400 produced melons ,which will weigh < 27.87 pounds

<h2>Answer↷</h2>

<h2>Solution↷</h2>

We know that,

$\rightarrow \: z = \frac{x - \mu}{\sigma} \\$

inserting the given values in the formula

$\rightarrow \: z = \frac{27.87 - 30}{1.9} \\\rightarrow \: z = - 1.121$

Area that's left to z = -1.121

Area that's left to -1.121 = 0.1311

= 13.11%

Hence ,

13.11% of the watermelons weigh less than 27.87 pounds

To find the number of watermelons,

We'll find 13.11% of 400

= 13.11% x 400

= 13.11/100 x 400

= 52.44

hence , approx 52 watermelons would be lesser than 27.87 pounds