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umka2103 [35]
3 years ago
5

A​ penny a​ nickel a​ dime and a quarter are tossed. what is the probability of obtaining four tailsfour tails on the​ tosses?

Mathematics
1 answer:
Korvikt [17]3 years ago
8 0
Probability  of a tail for any on coin = 1/2
As the  tosses of the 4 coins are independent of each other we multyiply the probs:-
P(4 tails) = 1/2 * 1/2*1/2*1/2 = 1/16
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A worker at a landscape design center uses a machine to fill bags with potting soil. Assume that the quantity put in each bag fo
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The variance is given by:

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And we can use the cumulative distribution function given by:

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And using this function we got:

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And using the complement rule and the cumulative distribution function we got:

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Step-by-step explanation:

For this case we define the random variable X=quantity put in each bag , and we know that the distribution for X is given by:

X \sim Unif (a= 10, b =12)

Part a

The expected value is given by:

E(X) =\frac{a+b}{2}= \frac{10+12}{2}= 11

The variance is given by:

Var(X) = \frac{(b-a)^2}{12}= \frac{(12-10)^2}{12}= 0.3333

And the standard deviation is just the square root of the variance and we got:

Sd(x) = \sqrt{0.3333}= 0.5774

Part b

For this case we want this probability:

P(X

And we can use the cumulative distribution function given by:

F(x) = \frac{x-a}{b-a}, a \leq x \leq b

And using this function we got:

P(X

Part c

For this case we want this probability:

P(X>10.5)

And using the complement rule and the cumulative distribution function we got:

P(X>10.5)= 1-P(X

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4 years ago
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