Answer : Given information : Probability of success $(p) = 0.39$ Sample size $(n) = 10$ Solution : → The probability exactly three : $$P(x = 3) = \binom{n}{x} \cdot p^x \cdot (1-p)^{n-x}$$ $$= \binom{10}{3} \cdot 0.39^3 \cdot (1 –…
(a) The probability that the number who have very little confidence in newspapers is exactly six is _____. Answer : Given information : Probability of success $(p) = 0.39$ Sample size $(n) = 10$ Solution : → The probability that…
a) P(9)= b)$\mu_X$ = c) $\sigma_X^2$ = d) $\sigma_X$ = Answer : Given : Probability of success $(p) = 0.8$ Sample size $(n) = 12$ Solution : a) The probability that x exactly 9 : $$\text{P}(x = 9) = \binom{n}{x}…
(a) Out of 30 job listings, at least 21 will conduct social media screening. (b) Out of 30 job listings, fewer than 19 will conduct social media screening. (c) Out of 30 job listings, exactly between 21 and 25 (including…
Answer : Given : The probability of success $(p) = 0.75$ Sample size $(n) = 3$ Solution : The probability of failure : $$\therefore q = 1 – P \ = 1 – 0.75 \ = 0.25$$ → The probability…
(a) What is the probability that exactly 3 of the surveyed customers like the Saturday option? (b) What is the probability that exactly 5 of these customers like the Saturday option? (c) What is the probability that at most 5…
Answer : Given : Probability of success $(p) = 0.65%$ Sample size $(n) = 30$ Solution : → The Probability of Exactly 20 Adults Using Smartphones : $$\text{P}(x = 20) = \binom{n}{x} \cdot p^{x} \cdot (1-p)^{n-x}$$ $$= \binom{30}{20} \cdot 0.65^{20}…
Answer : Given : The probability of success $(p) = 0.2$ Sample size (n) = 20$ Solution : → The probability that x is equalto 4 : $$\text{P}(x = 4) = \binom{n}{x} p^x (1-p)^{n-x} \Big|_{x=4}$$ $$= \binom{20}{4} 0.2^4 (1 –…
Answer : Given : → The probability of winning an arcade game is 0.632 The probability of success $(p) = 0.632$ Sample size $(n) = 10$ Solution : → The probability of winning no more than 8 times : $$\text{P}(x…
a. What is the probability that none of these vehicles requires warranty service?Probability: ___ b. What is the probability that exactly one of these vehicles requires warranty service?Probability: ___ c. Determine the probability that exactly two of these vehicles require…