Statistics and Probability Answers

Compute the probability of x successes,using the binomial distribution table n=4, p=0.50,& x=4.

The diameter of an electric cable is normally distributed with mean 0.8 and variance 0.0004. A cable is considered defective if the diameter differs from its mean by more than 0.025. Find the probability of obtaining defective cables.

Make use of the following values

◊ (0.025) = 0.51, ◊ (1.25) = 0.8944, ◊(0.8) =0.7881

Mary and Peter are tagging words in a text. Unfortunenately they dont read the text first, but just start to tag the words randomly.
At 30% of the words, Mary tags a word with the DT-tag.(determiner-tag)
At 50% of the words, Mary tags a word with the NN-tag (noun-tag)
At 20% of the words, Mary tags a word with the VB-tag.(verb-tag)

Peter use the the same strategy as Mary without seeing what tags she has used on each word.
At 30% of the words, Peter tags a word with the DT-tag.(determiner-tag)
At 50% of the words, Peter tags a word with the NN-tag (noun-tag)
At 20% of the words, Peter tags a word with the VB-tag.(verb-tag)

Question: What is the probability that they both would give a same tag to a same word?

Calculate the mean,median,mode,range,variance and standard variation
15,9,12,11,7,6,9,10,14,3,6,5

There are ten different pairs of socks, you take out 6 socks, what is the probability that you will be left with 7 whole pairs, the probability that you'll be left with 4 pairs?

A problem in mathematics is given to three students A, B and C whose chances of solving it are 1/2, 3/4 and 1/4 respectively. What is the probability that the problem will be solved if all of them try independently.

1000 black beans in a a jar, plus 1 green bean. If 999 people draw beans from the jar, what is the probability of each one drawing the green bean? Need the answer and the equation that leads to the answer, please.

A committee of 3 people are selected from a grouping of 15 doctors and 12 dentists.
i. In how many ways can the 3 people be selected:if there are no restrictions
ii.If the selection must contain exactly two doctors
iii.If the selection must contain at least 1 doctor and at least 1 dentist

& A high school counselor wants to examine whether the teenage pregnancy rate at her school is different from the rate nationwide. She knows that the rate nationwide is 15 %. She randomly selects 80 female students from her high school. She finds that 9 out of 80 students are either pregnant now or have been pregnant previously.

3. A researcher is interested in whether listening to music helps or hinders test-performance. To control for differences in cognitive level, this researcher decides to use a within-participants design. He selects a random sample of participants and has them study different material of equal difficulty in both the music and no music conditions. Participants take a 20-item quiz on the material. The table below shows the scores on the quiz. The study is completely counterbalanced to control for order effects