Question

A) μ 0.90 B).-I C) H 1.10 D)μ-1.15 Use Binomial Distribution to solve problems 4-5 4. In a study of brand recognition, 70% of consumers recognized Coke. Find the probability that among 5 randomly selected consumers, exactly 3 will recognize Coke. (Use binomial distribution with parameters n 5 and p 0.70). Show the result of calculations and circle one of the multiple choice answers. (6 points) A) 0.6174 B) 0.2161 C) 0.3087 D) 1.0290 5. Ifa person makes 4 shots (n 4) and in each of them he has 75% chance to hit ata (p 3/4), what is the probability that he will hit the target at least two times (P(x 2 Show the result of calculations and circle one of the multiple choice answers.7 23

Answer 1

$P(X=x)=n_{C_{x}}(1-p)^{n-x}(p)^{x}$

4)$P(X=3)=5_{C_{3}}(1-0.70)^{5-3}(0.70)^{3}$

  $=10(0.30)^{2}(0.70)^{3}$

$=0.3087$ C

5) $P(X\geq 2)=P(X=2)+P(X=3)+P(X=4)$

  $=4_{C_{2}}(0.25)^{4-2}(0.75)^{2}+4_{C_{3}}(0.25)^{4-3}(0.75)^{3 }+4_{C_{4}}(0.25)^{4-4}(0.75)^{4}$

$=6(0.25)^{2}(0.75)^{2}+4(0.25)(0.75)^{3}+1(0.25)^{0}(0.75)^{4}$

  $=0.9492$