10,000-80 what does it equal?

For each of the following binomial random variables, specify n and p. (a) A fair die is rolled 50 times. X = number of times a 5

Keith_Richards [23]

Answer:

a) $n = 50, p = \frac{1}{6}$

b) $n = 16, p = \frac{1}{100}$

c) $n = 26, p = 0.25, \mu = 6.5$

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinatios of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And $p$ is the probability of X happening.

(a) A fair die is rolled 50 times. X = number of times a 5 is rolled

The die is rolled 50 times, so $n = 50$ .

Each roll can have 6 outcomes. So the probability that 5 is rolled is $p = \frac{1}{6}$

(b) A company puts a game card in each box of cereal and 1/100 of them are winners. You buy sixteen boxes of cereal, and X = number of times you win.

You buy 16 boxes of cereal, so $n = 16$ .

1 of 100 are winners. So $p = \frac{1}{100}$ .

(c) Jack likes to play computer solitaire and wins about 25% of the time. X = number of games he wins out of his next 26 games.

He plays 26 games, so $n = 26$ .

He wins 25% of the time, so $p = 0.25$

We have that $\mu = np$ . So $\mu = 26*0.25 = 6.5$

6 0

3 years ago

Fred's boat rental charges a rental fee of $30 plus $5 per hour. Joe's boat rental charges a flat rate of $20 an hour. Set the s

zmey [24]

30 + 5h = 20h
30 = 20h - 5h
30 = 15h
30/15 = h
2 = h

at 2 hrs, they both charge the same rate...
30 + 5(2) = 30 + 10 = 40
20h = 20(2) = 40
so at 2 hrs, they both charge $ 40

8 0

3 years ago

Marguerite is building a box from strips of wood.she needs 78 pieces of wood that are each 29 centimeters long.the wood comes in

dolphi86 [110]

Each strip is 29 cm

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Change the m to cm
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6 m = 600 cm

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Find the number of strips for 1 6m-board
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Find the number of strips that can be cut from the 6m board.

600 ÷ 29 = 20 pieces remainder 20cm

So we can only cut 20 pieces of 29 strips from one 6m board.

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Find number of boards needed
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70 ÷ 20 = 3.5

We need 3.5 of the 6m boards.

Since she can't have half a board, she has to buy 4 pieces of the board.

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Answer: 4 pieces of the 6m board.
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7 0

3 years ago

Which expression is equivalent to (2x²y) ³?<br> O 2x¹y4<br> 2x¹2y3<br> 8x¹ y<br> O 8x¹2y³

natta225 [31]

Answer: $8x^6 y^3$