The probability of drawing a heart from a standard deck of cards is 0.25. you record the card you draw and return the card before shuffling to ensure a binomial distribution. if you do this 20 times, what is the probability that you will draw a heart 7 times?

0.1124

Step-by-step explanation:

Here, p(draw a heart) is 0.25.  Either you draw a heart or you do not.

Thus, this is binomial probability, with n = 20 and x = 7.

If you draw a card and record the outcome 20 times, what is If you do this 20 times, what is the probability that you will draw a heart 7 times??

Use the binomial probability density function on your calculator.

On mine, I type in    binompdf(20, 0.25, 7).  This returns 0.1124, which is the probability that you will draw a heart 7 times.

a

step-by-step explanation:

d. $180

step-by-step explanation:

if the dimensions of the room is 9ft by 12 ft, we have the area of the floor as,

so the area of the floor is 108 square feet, converting that into square yards we get,

the cost of carpet is $15 per square yard, therefore the cost of carpet for 12 square yards is,

hence, the cost of carpet is $180.

assuming the dimensions of the room be,

15 ft by 12 ft

so, the area of the floor of that room is,

we can convert 180 square feet into square yards, we know that,

1 sq ft = 0.111 sq yard

so, 180 square feet is,

so the area of floor is 20 square yards.

now, the cost of carpet is 15 dollars per square yard, therefore the cost of carpet for 20 square yards is,

so, it will cost $300.