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There are 10 Boys and 5 Girls in a class. Three students are chosen at Random one after the other. Find the probability that 1. First two are boys and third is girls. 2. First two are girls and third is boy
Identify left, right, or two-tailed test type in following
i. The 2011 average service time for Fast Fatz Burgers was 56 seconds. The store manager claims
that the 2012 average is more than 5 seconds faster.
ii. Speedy Solutions is a delivery company that claims all deliveries average less than 72 hours.
iii. At least 60% of indians vote in presidential elections.
iv. Chance of developing heart attack is under 50% for women.

Hello, could you please help me solve questions below?


A chess player playing with white pieces will win any game with probability 0.4, draw with probability 0.4 and lose with probability 0.2. The same probabilities when she plays with black pieces are 0.2, 0.5 and 0.3. Before each game a fair coin is tossed to decide whether she will play with the white pieces or the black pieces. Hence the probability she plays with either colour pieces is 0.5.


i. Given that she won her last game, what is the probability she was playing with the white pieces? (4 marks)


ii. Given that she did not lose either of her last two games, what is the probability she was playing with the same colour of pieces in both games? (6 marks)


iii. Let N denote the number of wins she will score in the next 10 games. Calculate E(N) and Var(N)


Given the six-element population 8,12,15,19,21, 25, 32, and 36. How many samples of size 2 can be
drawn, without replacement from this population? Compute the sampling distribution of the mean for
samples of size 2. Compute the mean and standard deviation of this distribution. Also verify the results.
A farmer is trying out a planting technique that he hopes will increase the yield on his pea plants. The
average number of pods on one of his pea plants is 145 pods with a standard deviation of 100 pods. This
year, after trying his new planting technique, he takes a random sample of 35 plants and finds the
average number of pods to be 147. He wonders whether or not this is a statistically significant increase.
i. What would the null and alternative hypotheses be for this scenario?
ii. What would the standard error be for this particular scenario?
iii. Describe in your own words how you would set the critical regions and what they would be at
an alpha level of .05.
iv. Test the null hypothesis and explain your decision
a) State the null and alternative hypothesis for a test to determine the validity of the claim
b) Identify left, right, or two-tailed test type
i. The 2011 average service time for Fast Fatz Burgers was 56 seconds. The store manager claims
that the 2012 average is more than 5 seconds faster.
ii. Speedy Solutions is a delivery company that claims all deliveries average less than 72 hours.
iii. At least 60% of indians vote in presidential elections.
iv. Chance of developing heart attack is under 50% for women.
The following are prices of a sanitizer sold at a few selected stores in a District A during the COVID-19 pandemic. Based on the sample data, at 0.05 level of significance, can we conclude the average price of the sanitizer in District A is RM10.50? Make your conclusion using the p-value approach, with the aid of Mic. Office EXCEL.

RM10.00, RM11.50, RM9.70, RM11.20, RM10.70, RM10.20, RM9.70
Consider a set of three shares in different companies. On any day the market price of each share can either increase (I), decrease (D) or remains unchanged (U).Assuming P(D) =P(I) =P(D)
(i) Write the sample space for the behaviour of the 3 shares
(ii) Compute the probabilities of the following events.
A = ( shares 1 , 2 , 3 behaves in the same way )
B = ( shares 1 and 2 increase in value )
C = ( none of the share price increases )
political discussion group consists of 10 Democrats and 9 Republicans. Three members are selected to attend a conference. Find the probability that the group will consist of all Republicans.

This is assignment of statistics for 10 marks only so Answer it for shortly for I just need concept

Questionnaire title/assignment title:

Challenges and obstacles of online learning faced by higher education students in Bangladesh or any country

Methods of questionnaire: structured unstructured or mix

Thanks I need it before 6/08/2020


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