The grocery store has an 84 percent chance of selling more than 390 tomatoes in a week.
The following formula can be used to compute the Z score:
Where,
Putting the values,
From the z score table, we get P(a j - 1) = 0.1586 = 15.86% = 16%
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.
Standard deviation is a statistic that calculates the square root of variance and measures the variance of a data set about its mean. By calculating the deviation from the mean for each data point, the standard deviation is calculated as the square root of the variance.
A normal distribution with a mean of 455 and a standard deviation of 65 represents his weekly amount of tomatoes sold at the grocery store.
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