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Bicycles for hire at the Durban Beach front are deemed beyond repair when one or both its wheels are damaged. According to current statistics, there is an 8% chance that the front wheel gets damaged and a 12% chance the back wheel gets damaged. What is the probability that a hired bike will be deemed beyond repair, provided that the wheels get damaged independently of each other? 


Find the area under the normal curve for z=0 to z=2.25.


. It is claimed that the average age of working students in a certain university is 35 years. a researcher selected a random sample of 25 working students. the computation of their age resulted to an average of 32 years with a standard deviation of 10 years. Does this mean that the average age of the working students is different from 35 years? Use 0.05 level of significance and assume normality in the population.


 

You will combine two numbers from 0 to 9. One entry will win PHP 6000, out of 100 total entries, if 

you match the last two digits of the final score in a basketball game. Let X be the net gain from 

the purchase of one entry. What is the mean or the expected value of a person who buys a ticket? 

Illustrate by constructing a probability distribution. 



Random sample of size 4 are drawn from the finite population which consists of numbers 2,3,7,8, and 10. Find the mean of the population μ.


an experiment consist of asking three grade 10 students if they prefer to choose academic track or tvl track in the senior high school. use A for academic and T for tvl. let y represent the random variable representing the number of TVL track response



Suppose that the probability is 0.8 that any person will believe a fake news about a celebrity, what is the probability that (a) the tenth person to read the news is the seventh person to believe it? (b) the fourth person to read the news if the second person to believe it?


Solve for the area of the region under the normal curve that corresponds between the given z=values. Show your solution.


1. between z= -2.5 and z=2

2. between z= 1.05 and z=3

3. between z=0 and z=2.15

4. between z=-2 and z=-1


Rica and Jasmin converted a clock to become a spinner, and then they decided to play a game. If Jasmin decided to choose an even number or a number greater than 8, what is the probability that she will win the game?


State the null hypothesis and the alternative hypothesis in (a) words and (b) symbols for the following


A random sample of 200 students got a mean score of 62 with a standard deviation score of 5 in a knowledge test in mathematics. In the standardization of the test, μ= 50 with σ= 10


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