c) At the end of the day, the records show that 140 customers made a purchase at the store that day.
What are the mean and standard deviation of the number of customers who won a discount of at
least 30%?

c At the end of the day the records show that 140 customers made a purchase at the store that day What are the mean and standard deviation of the number of cust class=

Respuesta :

Answer:

The right solution is "5.92". A further solution is provided below.

Explanation:

The given values are:

Total number of customer,

n = 140

The probability of 30% discount,

= [tex]\frac{1}{2}[/tex]

Somewhat by binomial distribution we could perhaps calculate the mean as well as the mean of the standard deviation will be:

= [tex]140\times \frac{1}{2}[/tex]

= [tex]70[/tex]

Now,

The standard deviation will be:

= [tex]\sqrt{np(1-p)}[/tex]

On substituting the given values, we get

= [tex]\sqrt{140\times \frac{1}{2}(1-\frac{1}{2} ) }[/tex]

= [tex]\sqrt{70(1-\frac{1}{2} )}[/tex]

= [tex]\sqrt{35}[/tex]

= [tex]5.92[/tex]

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