Statistics and Probability Answers

Suppose twin brothers, Lim and Jim are taking part in an experiment called ‘Twin’s

Telepathy Test’. In this test, 5 candles of different colors are shown to both the brothers

in the beginning. Then, the twins are put into two different rooms and the candles are

given to Jim. He picks a candle himself, presses a buzzer to let Lim know that one

candle’s been picked without telling him the color of the candle. Then Jim tries to

connect to Lim through his mind and transmit the name of the color to Lim telepathically.

Now, Lim has to guess the color of the candle. This goes on for 5 times for all five

candles.

a. What is the probability that Lim makes exactly 4 right guesses?

b. The same experiment is repeated, but this time after each wrong guess Lim makes,

the correct answer is shown to him. Now what is the probability that Lim makes

exactly 4 right guesses?

2: Defaulting on a loan means failing to pay it back on time. The default rate among X university students on their student loans is α %. As a project you develop a test to predict which students will default. Your test is good but not perfect. It gives 4% false positives, i.e. prediciting a student will default who in fact will not. If has a 0% false negative rate, i.e. prediciting a student won't default who in fact will. a) Suppose a random student predicts positive. Report the probability that he will truly default. (6) b) Someone offers to bet me the student in part(a) won't default. They want me to pay them Rs. 5k if the student doesn't default and they'll pay me Rs. 20k if the student does default. Is this a good bet for me to take?

Plant scientists developed different varieties of corns that have a rich content of lysine which is a nutritious animal feed. A group of chicks were given this food to test the quality. The distribution of the weight gains (in grams) of these chicks are shown below:

Weight gains (in grams) Frequency

318 - 335 4

336 - 353 5

354 - 371 2

372 - 389 3

390 – 407 2

408 – 425 3

426 - 443 1

Find:

(a) the mean weight gains

(b) the median

(c) the variance for the above frequency intervals

(d) the standard deviation

In a town, the probabilities that a family owns a microwave, an air conditioner and a computer are 0.5, 0.6, and 0.8 respectively.

A)If a family is chosen at random from the town, find the probability that the family chosen owns

(i) all three items

(ii) only a microwave and an air conditioner

(iii) none of the three it

how to answer this two methods of teaching statistics are being trued by a professor. a class of 40 students is taught by method a and a class of 36 students is taught by method b. the two classes are given the same final examination. the scores are: first sample mean= 78 and second sample mean 74. at alpha = .01 can we conclude that the average final examination scores produced by the two methods are different if the population standard deviation is 5? given: tabular value is 5

in a study of distances traveled by buses before the first major engine filure a sample of 191 buses resulted in mean of 96700 miles and a stndard deviation of 37500 mules.at the 0.05 level of significance test the manufcturer's claim that the mean distance traveled before major engine failure is more than 90000 miles.

1. Claim:

Ho:

Ha:

2. Level of Significance:

Test -statistics:

Tails in Distribution:

3. Reject Ho if:

4. Compute for the value of the test statistics:

5. Make a decision:

6. State the conclusion in terms of the original problem.

in a study of distances traveled by buses before the first major engine filure a sample of 191 buses resulted in mean of 96700 miles and a stndard deviation of 37500 mules.at the 0.05 level of significance test the manufcturer's claim that the mean distance traveled before major engine failure is more than 90000 miles.

If I have 10 black socks and 10 blue socks in the drawer, what is the minimum number of socks that I have to take out to have a blue pair of socks?

The income pay to workers in senior carder in a company where group into three and summary as follows;15%of the workers where in a group A 30%of d workers where in group B and 55% of the workers are in group C.if u receive an alert less than #25,000 you are in group C,if u receive more than #56,000 you are in group A. find the mean and the standard deviation of the income distribution assume it is normal distributed.

1.  A math club has 25 boys and 15 girls. Which expression represents the total number of different 5-member teams, consisting of 4 boys and 1 girl, which can be formed? (Note: When we have different groups that need to be formed within the larger group, we multiply together the two probabilities. Figure out the boys first, then the girls, and then multiply your two separate answers for your total answer.)