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Anna11 [10]
3 years ago
15

A dealership sent out fliers to prospective customers, indicating that they had already won one of three different prizes. The t

hree prices are either a new car valued at 5,000, a $500 gas card, or a $55 gift card. To claim his or her prize, a prospective customer needed to present the flier at the dealership's showroom. The fine print on the back of the flier listed the probabilities of winning. The chance of winning the car was 1 out of 13,320, the chance of winning the gas card was 1 out of 13,320, and the chance of winning the gift card was 13,318 out of 13,320. Complete parts (a) and (b).
a). Using the probabilities listed on the flier, what is the expected value of the prize won by a prospective customer receiving a flier?
b). Using the probabilities listed on the flier, what is the standard deviation of the value of the prize won by a prospective customer receiving a flier?
Mathematics
1 answer:
Juliette [100K]3 years ago
3 0

Answer:

The expected value of the prize won by a prospective customer receiving a flier os $55.4.

The standard deviation of the value of the prize won by a prospective customer receiving a flier is $43.

Step-by-step explanation:

The expected value of the prizes is the sum ofthe prizes, weighted by their probability of happening.

E(X)=\frac{1}{13,320}*5000+ \frac{1}{13,320}*500+ \frac{13,318}{13,320}*55\\\\E(X)=\frac{5000+500+732,490}{13,320} =\frac{737,990}{13,320}= 55,4

The expected value of the prizes is $55,4.

The standard deviation will be calculated as the square root of the variance:

V(X)=\frac{1}{13,320}*(5000-55.4)^2+ \frac{1}{13,320}*(500-55.4)^2+ \frac{13,318}{13,320}*(55-55.4)^2\\\\V(X)=\frac{4944.6^2+444.6^2+13,318*0.4^2}{13,320} =\frac{24,648,869.2}{13,320}= 1,850.52

\sigma=\sqrt{V(X)} =\sqrt{1850.52}=43

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ANSWER

Find out the expression gives the percent of survey participants who chose swimming.

To proof

As given

75 girls at a summer camp were asked to complete a survey about their favorite outdoor activity.

27 girls chose swimming

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FORMULA

Percentage = \frac{Part\times100}{whole}

total girls  = 75

girls chose swimming = 27

put in the formula

= \frac{27\times100}{75}

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Hence proved

3 0
3 years ago
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Hey Jackson!

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Ok so what we need to do is solving y= 2x + 1 for y.

So let's start by using the substitution method :)

Substitute 2x + 1 for y in -4x + 3y = 3

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3 years ago
Could anybody explain to me what both the question is asking in a simple way. For a dummy.
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