80% of college freshmen admit to checking emails at least once per day. In a random sample of 10 freshmen: (Use 3 decimals for your answers)80% of college freshmen admit to checking emails at least once per day. In a random sample of 10 freshmen: (Use 3 decimals for your answers)

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…

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 are independent of each other.

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…

Compute 𝑃(𝑥) using the binomial probability formula.

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…

Assume that when human resource managers are randomly selected, 59% say job applicants should follow up within two weeks. If 6 human resource managers are randomly selected, find the probability that at least 2 of them say job applicants should follow up within two weeks.

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…

A study determined that 5% of children under 18 years old lived with their father only. Find the probability that exactly 2 children selected at random from 15 children under 18 years old lived with their father only.

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…

40.3% of consumers believe that cash will be obsolete in the next 20 years. Assume that 8 consumers are randomly selected. Find the probability that fewer than 3 of the selected consumers believe that cash will be obsolete in the next 20 years.

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

It is claimed that 60% of all bald eagles survive their first year of life. Based on this, if 40 bald eagles are randomly selected, find the probability that

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…