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Question 8. At a car dealership, it was found that ( 35 % ) of all customers buy a black vehicle. Assume every customer choose the color of their vehicle independently. 1. Calculate the probability that exactly 5 black vehicles will be sold to the next 10 customers. You don't need to simplify your answer. (2 points) ( x= ) Number of black vehicles that are sold in our sample [ x sim B(10,0.35) ] So ( P(x=5)=inom{10}{5}(0.35)^{5}(0.65)^{5}=15.36 % ) 2. Calculate the probability that at least 3 black vehicles will be sold to the next 10 customers. You don't need to simplify your answer. ( 3 points) [ egin{array}{l} P(x geqslant 3)=1-P(x leq 2) \ =1-sum_{x=0}^{2}inom{10}{x}(0.35)^{x}(0.65)^{10-x} \ =1-0.2617=0.7383 \ =73.83 % \ end{array} ]

          Question 8. At a car dealership, it was found that ( 35 % ) of all customers buy a black vehicle. Assume every customer choose the color of their vehicle independently.
1. Calculate the probability that exactly 5 black vehicles will be sold to the next 10 customers. You don't need to simplify your answer. (2 points)
( x= ) Number of black vehicles that are sold in our sample
[
x sim B(10,0.35)
]

So ( P(x=5)=inom{10}{5}(0.35)^{5}(0.65)^{5}=15.36 % )
2. Calculate the probability that at least 3 black vehicles will be sold to the next 10 customers. You don't need to simplify your answer. ( 3 points)
[
egin{array}{l}
P(x geqslant 3)=1-P(x leq 2) \
=1-sum_{x=0}^{2}inom{10}{x}(0.35)^{x}(0.65)^{10-x} \
=1-0.2617=0.7383 \
=73.83 % \
end{array}
]

$Question 8. At a car dealership, it was found that ( 35 % ) of all customers buy a black vehicle. Assume every customer choose the color of their vehicle independently. 1. Calculate the probability that exactly 5 black vehicles will be sold to the next 10 customers. You don't need to simplify your answer. (2 points) ( x= ) Number of black vehicles that are sold in our sample [ x sim B(10,0.35) ] So ( P(x=5)=inom105(0.35)^5(0.65)^5=15.36 % ) 2. Calculate the probability that at least 3 black vehicles will be sold to the next 10 customers. You don't need to simplify your answer. ( 3 points) [ eginarrayl P(x geqslant 3)=1-P(x leq 2) =1-sumx=0^2inom10x(0.35)^x(0.65)^10-x =1-0.2617=0.7383 =73.83 % \ endarray ]$

Added by Amanda R.

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