$P(x)=^nC_x\ p^x(q)^{n-x}$ , where P(x) is the probability of getting success in x trials , n is the total trials and p is the probability of getting success in each trial.

Given : The probability that the adults follow more than one game = 0.30

Then , q= 1-p = 1-0.30=0.70

The number of adults surveyed : n= 15

Let X be represents the adults who follow more than one sport.

Then , the probability that fewer than 4 of them will say that football is their favorite sport,

$P(X\leq4)=P(x=0)+P(x=1)+P(x=2)+P(x=3)+P(x=4)\\\\=^{15}C_{0}\ (0.30)^0(0.70)^{15}+^{15}C_{1}\ (0.30)^1(0.70)^{14}+^{15}C_{2}\ (0.30)^2(0.70)^{13}+^{15}C_{3}\ (0.30)^3(0.70)^{12}+^{15}C_{4}\ (0.30)^4(0.70)^{11}\\\\=(0.30)^0(0.70)^{15}+15(0.30)^1(0.70)^{14}+105(0.30)^2(0.70)^{13}+455(0.30)^3(0.70)^{12}+1365(0.30)^4(0.70)^{11}\\\\=0.515491059227\approx0.5$

Hence, the probability rounded to the nearest tenth that fewer than 4 of them will say that football is their favorite sport =0.5

4 0

3 years ago

HELP PLEASE!!!!!!!!

marusya05 [52]

The angles of a triangle add up to 180 degrees

180 - 80 = 100

Both of the unknown angles are the same. So...

100/2= 50

X = 50 degrees

7 0

3 years ago

Ccs(x)=-1,for 3pi less then or equal to c less then or equal to 4pi

Fantom [35]

Answer:

well given that Ccs=x=-1=3 $\pi$ =c=4 my teacher thinks that its less than

Step-by-step explanation:

3 0

3 years ago

Which situations represent a y-intercept of 2? Select all that apply.

Anastaziya [24]

I am not 100% sure but I believe its,
(0,2)
Ball thrown from an initial height of two feet
Jeremy's change jar that started with a $2 deposit

I chose these because the Y always represents the starting point of whatever the problem is about, then the X represents the progress its made since the beginning. So if it doesn't say start or initial or any words like that its probably not the Y, its the X.

5 0

3 years ago

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