Statistics and Probability Answers

Solve the following by using the binomial formula.

1.When rolling a die 100 times, what is the probability rolling a 4 exactly 25 times?

2.       A teacher developed a 5- item multiple choice question with four options in each item. What is the probability of that a certain student who randomly selects his answers will get exactly 4 correct answers?

Solve the following by using the binomial formula.

1.When rolling a die 100 times, what is the probability rolling a 4 exactly 25 times?

2.       A teacher developed a 5- item multiple choice question with four options in each item. What is the probability of that a certain student who randomly selects his answers will get exactly 4 correct answers?

90%, n=23 z-score:

How many possible samples of size n = 9 can be drawn from a population of size 12?

Because of the immediate suspension of classes nationwide due to the COVID-19 pandemic, many

schools opted to give the final examination online. The scores on a certain exam are normally

distributed with a mean of 75 and a standard deviation of 10. Find the probability of the score.

a. Less than 54

b. At least 50

c. The average age of the ABS CBN employees is known to be 32 years and the standard

deviation is 5 years. Find the probability that a random sample of 36 employees will have an average

age of less than 30 years.

In a study of inter spousal aggression and its possible effect on child behavior, the Behavior Problem Checklist (BPC) scores were recorded for 47 children and whose parents were classified as aggressive. The sample mean and standard deviation were 7.92 and 3.45, respectively. For a sample of 38 children whose parents were classified as non-aggressive, the mean and standard deviation of the BPC scores were 5.80 and 2.87, respectively. Do these observations substantiate the conjecture that the children of aggressive families have lower mean BPC than those of non- aggressive families? Use a significance level of 0.05.

What is P(x<64)?

Find the p and q

1.) x=18;n=100

In a study of inter spousal aggression and its possible effect on child behavior, the Behavior Problem Checklist (BPC) scores were recorded for 47 children and whose parents were classified as aggressive. The sample mean and standard deviation were 7.92 and 3.45, respectively. For a sample of 38 children whose parents were classified as non-aggressive, the mean and standard deviation of the BPC scores were 5.80 and 2.87, respectively. Do these observations substantiate the conjecture that the children of aggressive families have higher mean BPC than those of non- aggressive families? Use a significance level of 0.05.