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A sample of 100 cans of peas showed an average weight of 14 ounces with a standard deviation of 0.7 ounces. If the distribution is normal, how many cans of peas will fall between 12.6 and 15.4 ounces?

Respuesta :

haiden24
12.6 to 15.4 divided by 0.7 is -2 to +2 by the empirical rule 95% of the cans will be within 2 standard deviation of the weight 95

The Probability that the cans of peas fall between 12.6 and 15.4 ounces is 95.44% .

What is Probability ?

Probability is the study of chances of an event to happen.

It is given that

Total Cans = 100

Average = 14 ounces

Standard Deviation = 0.7 ounces

The distribution is normal

The z score is give by ( x - [tex]\rm \mu[/tex] ) /[tex]\rm \sigma[/tex]

The probability that the cans fall between 12.6 and 15.4 is

= P (  12.6 < x < 15.4)

= P (  (12.6-14)/0.7 < z <  (15.4 - 14)/0.7 )

= P ( -2 < z < 2)  

= P(z < 2) - P(z >-2)

=0.9772 - 0.0228

= 0.9544 = 95.44%

Therefore the Probability that the cans of peas fall between 12.6 and 15.4 ounces is 95.44% .

To know more about Probability

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