PLEASE HELP!!!

Select the correct answer.
The number of tomatoes sold weekly by a grocery store follows a normal distribution with a mean of 455 and a standard deviation of 65. Which sentence summarizes this information?

A.
There is a 95% chance that the grocery store sells more than 390 tomatoes in a week.
B.
There is a 34% chance that the grocery store sells fewer than 390 tomatoes in a week.
C.
There is an 84% chance that the grocery store sells more than 390 tomatoes in a week.
D.
There is a 68% chance that the grocery store sells fewer than 390 tomatoes in a week.

The standard deviation is a statistic that calculates the square root of the variance and measures the dispersion of a dataset relative to its mean. By calculating each data point's divergence from the mean, the standard deviation is calculated as the square root of variance.

A normal distribution with a mean of 455 and a standard deviation of 65 describes the quantity of tomatoes sold weekly by a grocery store.

Hint: We must first compute the z score, after which we may determine the probability or area below that point using the z score table.

The following formula can be used to compute the Z score:

[tex]$Z=\frac{X-\mu}{\sigma}$[/tex]

Where,

[tex]$X=$[/tex]the raw score,

[tex]$\mu=$[/tex]mean of the sample

[tex]$\sigma=$[/tex]standard deviation,

Putting the values,

[tex]$Z=\frac{390-455}{65}=-1$[/tex]

From the z score table, we get

[tex]$P(z < -1)=0.1586=15.86 \% \approx 16 \%$[/tex]

From the z score table, we get

Where X is the raw score, M is the sample mean, and S is the standard deviation.

Putting the figures together,

We get the following from the z score table:

According to the table, the likelihood less than the point is 390 with a z score of -1, and the probability larger than the point is 390 with a z score of -1. is, 100-16=84%

Hence In a week, the supermarket has an 84 percent probability of selling more than 390 tomatoes.

To know about Probability here

https://brainly.com/question/24756209

#SPJ2