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…
(a) What is the probability that at most 4 of the calls involve a fax message? (b) What is the probability that exactly 4 of the calls involve a fax message? (c) What is the probability that at least 4…
The probability that more than 4 patients will have this mild side effect is ___. (Round to three decimal places as needed.) Answer:Given: Probability of success $(p)=0.40$ Sample size $(n)=12$ Solution:The probability that more than 4 patients will have this…
The probability that more than 8 patients will have this mild side effect is ___. (Round to three decimal places as needed.) Answer:Given: Probability of success $(p)=0.30$ Sample size $(n)=20$ Solution:The probability that more than 8 patients will have this…
The probability that more than 5 patients will have this mild side effect is ___. (Round to three decimal places as needed.) Answer:Given: Probability of success $(p)=0.15$ Sample size $(n)=25$ Solution:The probability that more than 5 patients will have this…