Answer: Given Data : Probability of success $(p)=0.8$ Sample size $(n) = 10$ (A) The probability that all of them admit to checking emails at least once per day: $P(x = 10) = \binom{n}{x} \cdot p^x \cdot (1 – p)^{n…
Answer: The standard deviation $(\sigma):$ $\sigma = \sqrt{n \cdot p(1 – p)} = \sqrt{80 \cdot 0.16(1 – 0.16)} = 3.28$
a. What is the probability that eight out of the ten people recover? Answer: Given: Probability of success $(p)=0.40$ and Sample size $(n)=10$ → The probability that eight out of the ten people recover? $P(x = 8) = \binom{n}{x} \cdot…
Binomial Distribution: A 2005 Gallup Poll found that 7% of teenagers (ages 13 to 17) suffer from arachnophobia and are extremely afraid of spiders. At a summer camp, 12 teenagers are sleeping in each tent. Assume that these 12 teenagers…
(a) Find the probability that three of them are defective. (Round your answer to four decimal places.) (b) Find the probability that at least two of them are defective. (Round your answer to four decimal places.) Answer: Given Data :…
Then determine whether the normal distribution can be used to estimate this probability. If so, approximate 𝑃(𝑥) using the normal distribution and compare the result with the exact probability. 𝑛=54, 𝑝=0.7, and 𝑥=34 use the binomial probability formula to find 𝑃(𝑥). (Round to…
Answer:Given: ⟹ 59% of human resource managers say job applicants should follow up within two weeksConsidering the event that a randomly selected human resource manager says job applicants should follow up within two weeks as success, The probability of success,p=0.59,Sample…
The probability that exactly 2 of the 15 children under 18 years old lived with their father only is (Do not round until the final answer. Then round to the nearest thousandth as needed.) Answer: Given Data:The probability of success (p)=0.05The sample size (n)=15→ The probability…
Answer:Given Data:The probability of success (p)=0.403The sample size (n)=8 → The probability that fewer than 3 of the selected consumers believe that cash will be obsolete in the next 20 years :P(x<3)=∑(x=0)^(x=2)▒〖nC_x×p^x×(1-p)^(n-x) 〗 =∑(x=0)^(x=3)▒〖8C_x×〖0.403〗^x×(1-0.403)^(8-x) 〗=0.309
a. Exactly 23 of them survive their first year of life. b. At most 27 of them survive their first year of life. c. At least 23 of them survive their first year of life. d. Between 22 and 29 (including the values 22 and 29) of them survive their first year of life. e. The mean of this…