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The average monthly salary for a newly hired employeeat a bank is 20,000.If the hiring salary at this bank is normally distributed with a standard deviation of 2,800 ,what is the probability that a newly hired employee randomly selected from a list of receives a monthly salary which is less than 16,000


normal curve that corresponds to the required area.


Jose who lives in Zambales harvested mangoes in her plantation for


export. The average weight of the harvested fruits is 2 kilos with a


standard deviation of 0.4 kilo. Assume that the variable is normally


distributed.


a. What is the probability that a randomly selected mango will weigh less


than 1.5 kilos?


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b. A potential importer intends to take a sample of 4 mangoes and will not


place an order if the sample mean is less than 1.5 kilos. What is the


probability that the importer will not place an order?

given the mean μ 124 and standard deviation is σ = 3. find the z-value that corresponds to a score X=118. then find and graph the proportion of the are greater than the computer z-value



Suppose that the average outstanding credit card balance for young professionals is Php11,200 with standard deviation of Php 2,600. In simple random sample of 150 young professionals, what is the probability that the mean outstanding credit card balance does not exceeds Php12,300?



Laverny tosses an unbiased coin. He receives P100 if a head appears and he pays P40 it a tail appears Find the expected value and the variance of his gain.

a) given the following n = 74, p= 5/74,



Po = 10% or



0.10 Formulates the null and alternative hypothesis, identify the test statistic and write the critical region if Po ≠ 0.10.





b) given the following n = 60, P=50/60 , Po= 0.75.





Formulates the null and alternative hypothesis, identify the test statistic and write the critical region if Po> 0.75

it is a set or an array of things of observation whether arranged or not arranged in a particular order


A researcher used a developed problem solving test to randomly select 50 grade 6 pupils. In this sample,




x=80. The mean and the standard deviation of the population used in the standardization of the test were 75 and 15, respectively. Test the hypothesis that the sample mean differ significantly from the population mean. Use level of significance of 0.05. The z value is 1.96.

The probabilities of a machine manufacturing 0, 1, 2, 3, 4, or 5 defective parts in one day are 0.75, 0.17, 0.04, 0.025, 0.01, and 0.005, respectively. Find the mean of the probability distribution.

Suppose three test kits are tested at random. Let D represent the defective test kit and let N represent the non-defective test kit. If we let X be the tendon variable for the number of defective test kits, construct the probability distribution of the random variable X



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