Mathematics, 26.06.2019 19:00 MewsicBox9165

If the probability of a basketball player scoring on any shot is .75, what is the probability that it will take her more than four shots to first scores on a shot? a..0156 c) .0039 e) none of these. b..9961 d) .0118

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Answer from: Cxylaa

Solution:

Probability of a basketball player scoring on any shot = .75

Probability of a basketball player does not hit on the right point = 1-0.75=0.25

Probability that it will take her more than four shots to first scores on a shot = F F F F S +F F F F S S+ F F F F S S S+ F F F F S S S S F F F F S SS SS+...........

= F F F F S[1+S+S S+S S S+ S S S S+.......upto infinity]

= F F F F S [ $\frac{1}{1-S}$ ],→→→[ sum to infinity of a geometric progression a+a r+ a r²+ a r³,... .....= [ $\frac{a}{1-r}$ ], ]

= (0.25) × (0.25) ×(0.25)× (0.25)×(0.75)×[ $\frac{1}{0.25}$ ],

= 0.0625 × 0.25×0.75

=0.01171875

= 0.0118 (Approx)→→→→Option (d) is correct .

Answer from: alaina33

Option a is correct that is .0156

Step-by-step explanation:

We have been given the probability of a basketball player scoring is p which is 0.75

So, q is 1-p

q=1-0.75=0.25

Here, we need to find the probability that it will take her more than four shots

We will first find the shots for less than 4 in which we take cases for 1,2 and 3 shots.

We know that total probability is 1.

So, probability of more than four shots + probability of less than 4 shots =1

So, probability of less than 4 shots we will use binomial distribution which is

$P(r)=^nC_r \cdotp^r\cdot q^{n-r}$

Here,n=3 and r will be 1,2 and 3 we will consider all three cases

We will add all three cases when r=1,2 and 3

^3C_1(.75)(.25)^2+^3C_2(.75)^2(.25)^1+^3C_3(.75)^3(.25)^0

On simplification we will get:0.984375

Probability of three cases that is less than four shots is:=0.984375

So, the required probability is: 1-0.984375=0.015625

Therefore, Option a is correct.

Answer from: Quest

step-by-step explanation:

answers available in this download

(pearson%2c%25202012)%2520bbs.pdf& usg=aovvaw1obmtxnfghfgxhx0urh_je

Answer from: Quest

If you divide 0.1 and 0.6 you wii get 0.166666 which rounds to .167 which is answer b

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If the probability of a basketball player scoring on any shot is .75, what is the probability that i...