# Population variance

In a California community college, 60% of students will transfer to a college in the CSU system. The number of students in a sample who will transfer follows a binomial distribution.

If eight students are randomly selected, find the population variance σ

If eight students are randomly selected, find the probability that three or fewer of these students will transfer to a college in the CSU system.

If eight students are randomly selected, find the population variance σ

^{2}of the random variable.If eight students are randomly selected, find the probability that three or fewer of these students will transfer to a college in the CSU system.

### Correct answer:

Tips for related online calculators

Looking for help with calculating arithmetic mean?

Looking for a statistical calculator?

Would you like to compute the count of combinations?

Looking for a statistical calculator?

Would you like to compute the count of combinations?

#### You need to know the following knowledge to solve this word math problem:

#### Grade of the word problem:

## Related math problems and questions:

- Sample Proportion

In a California community college, 60% of students will transfer to a college in the CSU system. The number of students in a sample who will transfer follows a binomial distribution. Four hundred students are randomly selected from the college, and 224 of - Covid-19

Data showed that 22% of people in a small town were infected with the COVID-19 virus. A random sample of six residents from this town was selected. Find the probability that exactly two of these residents were infected. - Level of significance

At a certain college, it is estimated that 25% of the students have cars on campus. Does this seem to be a valid estimate if, in a random sample of 90 college students, 28 are found to have cars? Use a 0.05 level of significance. - Seeds

From a box of spruce seeds with a germination of 80%, we randomly selected ten seeds and planted them. Find the median of the random variable: the number of germinating seeds. - Internet anywhere

In school, 60% of pupils have access to the internet at home. A group of 8 students is chosen at random. Find the probability that a) exactly 5 have access to the internet. b) At least six students have access to the internet - Yarhands

Yarhands statistical consult conducted statistical analysis on the election results from 1992 to 2012 to assess the chances of the NPP winning the election in Ghana's Volta region. The research reveals that 15% of inhabitants in the Volta region favor the - Students and exam

In a certain college, accounting is one of the courses; among the accounting students, 60% are male. Among the male students, 75% passed the exams, while among the females, 50% failed. (a) present this using a probability tree diagram (b) determine the pr - Records

Records indicate 90% error-free. If eight records are randomly selected, what is the probability that at least two records have no errors? - Alopecia

Medical literature indicates that 45% of men suffer from alopecia. For a random sample of 8 men, calculate the probability that: (a) exactly four men suffer from alopecia. (b) at most, two men suffer from alopecia. - A student 2

A student randomly selected 225 college students and asked whether they ate breakfast that morning before coming to campus. Fifty-seven students were at least 25 years old, and 30 had breakfast that morning. Of the 168 students younger than 25, 82 had bre - Mortality tables

Mortality tables enable actuaries to obtain the probability that a person will live a specified number of years at any age. Insurance companies and others use such probabilities to determine life insurance premiums, retirement pensions, and annuity paymen - Family

Ninety-four boys are born per 100 girls. Determine the probability that there are two boys in a randomly selected family with three children. - Probability 59493

Determine the probability of a random event out of 10 randomly selected bridge cards. There will be at least three aces. Note This is a team game, with 52 cards in the deck, of which four aces. - The university

At a certain university, 25% of students are in the business faculty. Of the students in the business faculty, 66% are males. However, only 52% of all students at the university are male. a. What is the probability that a student selected at random in the - Smoker male

For a person selected randomly from a certain population, events A and B are defined as follows. A = event the person is male B = event the person is a smoker. For this particular population, it is found that P(A ) = 0.53, P(B) = 0.15, and P(A n B ) = 0.1 - IQ Intelligence quotient

Intelligence quotient (IQ) is a standardized score used as the output of standardized intelligence psychological tests to quantify a person's intelligence with the rest of the population (respectively, to a given group). Intelligence has an approximately - Compare distributions

Which would you expect to be larger, the standard deviation of 5 random numbers picked from 1 to 47 in the California Super Lotto (CSL - write 1 as a result), or the standard deviation of 5 random numbers picked from 1 to 69 in the multi-state PowerBall L