Probability Distributions - Binomial Distributions

If Y represents the number of times of getting the number 1 when tossing a fair dice three times, list all the possible values of Y.

• Y = {1, 1, 1}

• Y = {1, 2, 3, 4, 5, 6}

• Y = {0, 1, 2, 3}

The probability of obtaining r successes in a binomial distribution is given by the formula :

• $P\left(X=r\right)=^nC_{r\ }p^rq^{n-r}$

• $X=np$

• $\sigma^2=npq$

• $\sigma=\sqrt{npq}$

90% of the Form Five Science Stream students of a school passed the SPM Mathematics paper. If a sample of 7 students is chosen at random, calculate the probability that all of them passed the SPM mathematics paper.

Senior citizens make up 40% of the population of a settlement. If 6 people are randomly selected from the settlement, find the probability that more than 4 of them are senior citizen.

in an archery competition, 2 out of 3 arrows hit the target. Out of 7 shootings, calculate the probability of Kib's shootings that miss the target twice.

Given that a class consists of 30 students, 70% of them pass in a mathematics test. Find the variance and the standard deviation of the number of students pass the test.

(Separate your answer with a ',' ie. 2.30 , 1.115)

 $Given\ n=200\ and\ p\ =\ \frac{1}{6},\ find\ the\ value\ of\ \mu$  

The result of study shows that 25% of the pupils cycle to school. If 6 pupils are chosen at random, calculate the probability that at least one of them cycle to school.

The probability that it is a sunny day in Bandar Mersing is  $\frac{3}{4}$  .  Determine the probability that in a week, the weather is not sunny for at least 1 day.

5% of the thermos flasks produced by a company are defective. If a sample of n thermos flasks is chosen at random, the variance of the number of thermos flasks that are defective is 0.475. Find the value of n.

Tags

CCSS.HSF-LE.A.1B