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100, 100, 99, 98, 92, 91, 91, 90, 88, 87, 87, 85, 85, 85, 80, 79, 76, 72, 67, 66, 45

 

d)           James obtained a mark of 90 and Petrus obtained a mark of 79 for the test. How would you describe their results in relation to the mean? 



 The average height of male in the Philippines with age 20 to 39 is 163.5 cm while the standard deviation is 37.8 cm. If we choose 200 from these people what will be the standard deviation of this sample


1. What are the advantages of using manipulative when teaching mathematics?

2.briefly discuss what learners' mathematical thinking involves? How can you, as the teacher, support learners to express and clarify their own thinking.


Consider the random variable X and its probability mass function:

𝑋 70 80 90

𝑃(𝑋 = 𝑥) 0.3 0.45 0.25

a- Find the expected value of this random variable.

b- Find the cumulative distribution of this random.

c- Calculate P(𝑋 ≥ 80) in two methods: Use the cumulative distribution and the probability mass function. 

 


Suppose that the number of customers that enter a bank in an hour is a Poisson random variable, and suppose that P(X =0) = 0.02.

i. What is the probability that at most one person enter the bank in one hour?

ii. Determine the mean and standard deviation of X


Given that p(x) =(k/2^x)s a probability distribution for a random variable that can take on the values x = 0, 1, 2, 3, and 4.

a. Find k.

b. Find the expression for the cdf F(x) of the random variable.


calculate standard deviation and variance for the sample : 22,27,32,37,42,47


The owner of a factory that sells a particular bottled fruit juice claims the the average capacity of their product is 250 ml to the test claim a consumer group gets a sample of 100 such bottles calculates the capacity of each bottle and then finds the mean capacity to the be 248ml.The standard deviation is 5ml significance level is 0.5 is the claim true



It is claimed that the mean annual salary of call center customer service representatives

is P188,584.00. A researcher randomly selected 45 call center customer service

representatives. He computed the mean of their annual salaries and obtained a mean of

P188,600.00. Does this show that the mean salary of call center customer service

representatives is greater than P188,584 00? Use 0.05 level of significance assume that

the population standard deviation is P39.50


Consider the following data to validate the hypothesis that there is significant difference


between two populations.


Sample size


Mean


Standard deviation


20


25


5


20


20


6



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