x items are selected from n items by nCx ways.
nCx = n! / [ ( n - x)! * x! ]
P(At least 3 female) = P(3 female and 2 male) + P(4 female and a male) + P(5 female)
= [ 30C3 * 30C2 / 60C5 ] + [ 30C4 * 30C1 / 60C5 ] + [ 30C5 / 60C5 ]
= 0.50
if you select 5 students from a sample size of 60 (there are 30 females and...
In a certain town, 60% of the people are female. 30% of the females play soccer, and 40% of the males people play soccer. You pick a person at random from the town. What is the probability that the person you picked is female given that they play soccer? You may leave your answer unsimplified.
A seminar class consists of eight students. Three are males and five are females. A sample of three students is to be selected at random, without replacement, from the class. Let X represent the number of males obtained in the sample. "Then X is a binomial random variable." Is the statement in quotes true or false? True False
A study on exercise habits used a random sample of 2,540 college students (1,220 females and 1,320 males). The study found the following: 818 of the females in the sample exercise on a regular basis. 924 of the males in the sample exercise on a regular basis. The average time that the 1742 students who exercise on a regular basis (818 + 924) spend exercising per week is 4.2 hours. What is the point estimate for the average amount of...
) A sample of 15 graduating students, 15 females and 5 males, was randomly selected. Their GPAs were recorded, and the ranks of these GPAs for the pooled sample are presented below. Test the following hypothesis: H0: There is no difference in GPAs between the genders? Use the Mann-Whitney test. Males Females 11 1 12 2 3 13 14 4 6 5 15 7 8 9 10 Calculated test statistic: Critical value of the test statistic: Decision rule: Decision:
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At your college 30 % of all students are from out of state. If you randomly select 15 of these students, what is the probability that: A. All are from within the state? B. All from out of state? C. Exactly two are from within the state? D. At least 5 are from within the state? Please show how to work out the problem, it helps a lot. Thank you!
Compute the probability that a sample of size 30 will contain 19 or more in-state students, if the proportion of in-state students in the population is 0.77. Round your answer to three decimal places.
Psychologists liquor) hey consume in a typical week. Summary stašistics for 125 males and 184 females are provided in the accompanying table at an university compared the levels of alcohol consumption of male and female freshman students. Each student was asked to estimate the amount of alcohol (beer, wine, ar Click here to view the table. a. For each gender, find a 95% confidence interval for mean weekly alcohol consumption. For males, the 95% contdence nterval is OD (Round to...
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Suppose you take a sample of size 4 from a population that is normally distributed with a mean of 70 and a standard deviation of 10. Based on such a sample, what is the (approximate) probability of getting a sample mean between 60 and 80? Question 3 options: 0.025 0.05 0.5 0.95 0.975 Question 4 (1 point) Suppose you take a sample of size 4 from a population that is normally distributed with a known standard deviation of 10. You...