3 years ago

Paul bought 9 total shirts for a total of $72. Tee shirts cost $10 and long sleeves shirts cost

1 answer:

7 0

This is the whole problem : Paul bought 9 total shirts for a total of $72. Tee shirts cost $10 and long sleeve shirts cost $7. How many of each type of shirt did he buy?

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A study by a federal agency concludes that polygraph tests given to truthful persons have probability 0.2 of suggesting that the

Yuliya22 [10]

Answer:

b) 0.9313

c) mean = 2.4

standard deviation= 1.3856

d) 0.5583

Step-by-step explanation:

Given:

p = 0.2

n = 12

a) X= number of applicants classified as deceptive.

Probability mass function of X will be:

$P(X=x) = \left(\begin{array}{c}12\\x\end{array}\left) (0.2)^x(1-0.2)^1^2^-^x,x=0, 1, 2, .....,12$

b) Probability that the polygraph says at least 1 is deceptive:

$P(X≥1) = 1 -P(X=0) = 1 -\left(\begin{array}{c}12\\0\end{array}\left) (0.2)^0(1-0.2)^1^2^-^0$

= 1 - 0.0687

= 0.9313

c) The mean number among 12 truthful persons who will be classified as deceptive:

E(X) = n•p

= 12 * 0.2

= 24

Standard deviation:

$s.d = \sqrt{12*0.2*(1-0.2)}$

= 1.3856

d) Probability that the number classified deceptive is less than the mean:

$P(X$

= 0.5583

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