SOLUTION: 42% of adults say cashews are their favorite kind of nut. You randomly selected 12 adults and ask each to name his or her favorite nut. Find the probability that the number who s

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Question 476911: 42% of adults say cashews are their favorite kind of nut. You randomly selected 12 adults and ask each to name his or her favorite nut. Find the probability that the number who say cashews are their favorite nut is (a) exactly three, (b) at least four, and (c) most two. If convenient , use technology to find the probabilities.
(a)P(3)=____(round to the nearest thousandth )

Answer by Edwin McCravy(20059)   (Show Source): You can put this solution on YOUR website!
42% of adults say cashews are their favorite kind of nut. You randomly selected 12 adults and ask each to name his or her favorite nut. Find the probability that the number who say cashews are their favorite nut is
(a) exactly three,
On your TI-84

PRESS ON
PRESS CLEAR
PRESS 2ND
PRESS VARS
PRESS ALPHA
PRESS MATH

You should see --->   binompdf(∎

(The ∎ means a blinking cursor)

At the blinking cursor type 12,.42,3)

You should see this on your screen:

binompdf(12,.42,
3)

Press ENTER

read .1210660838, to nearest thousandths, .121

----------------------------------------

(b) at least four


PRESS ON
PRESS CLEAR

Type this:  1-    <--- that's "ONE MINUS"

PRESS 2ND
PRESS VARS
Scroll down to B:binomcdf(
PRESS ENTER

You should see --->  1-binomcdf(∎

(The ∎ means a blinking cursor)

At the blinking cursor type 12,.42,3)

You should see this on your screen:

1-binompdf(12,.4
2,3)

Press ENTER

read .8147354733, to nearest thousandths, .815

-------------------------------------------

(c) at most two.
PRESS ON
PRESS CLEAR
PRESS 2ND
PRESS VARS
Scroll down to B:binomcdf(
PRESS ENTER

You should see --->  binomcdf(∎

(The ∎ means a blinking cursor)

At the blinking cursor type 12,.42,2)

You should see this on your screen:

binompdf(12,.42,
2)

Press ENTER

read .0641984429, to nearest thousandths, .064.

Edwin


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