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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?
QUESTION THREE
In a Competitive examination of 5000 students, the marks of the examinees in statistics were found to be distributed normally with mean 45 and standard deviations 14.
Determine the number of examinees whose marks, out of 100 were;
(i) Less than 30. 2MKS
(ii) Between 30 and 70. 2MKS
(iii) Between 60 and 80. 2MKS
(iv) More than 60. 2MKS
(v) More than 40 2MKS
Consider all the possible samples of size 2 that can be drawn without replacement from the population 1, 4, 6 and 7.
Compute the following;
a. Mean of the sampling distribution of the sample means
b. Variance of the sampling distribution of the sample means
c. Standard deviation of the sampling distribution of sample means
An individual is handover a bag filled with balls of different colours. The table below
gives the probability that a randomly chosen ball is of a specific colour, along with a
missing probability value of picking a ball of white colour.
Colour Red Yellow Green Orange Blue White
Probability 0.2 0.2 0.1 0.1 0.3 ?
Answer the following questions:
(i) What value must the missing probability be?
(ii) If a ball is drawn at random from the bag, what is the probability of each of the
following events?
I. It is either Blue or Red in colour.
II. It is notYellow in colour.
III. It is neither Orange nor White in colour.
IV. It is either Blue or Red or Yellow or Green or Orange or White.
(1,2,-1,0),(1,3,1,2), (4,2,1,0), (6,1,0,1) examine whether the following vectors are linearly independent or dependent.
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
Mike earns R500 per month and he is required to pay SARS 13% of his salary. How much is Mike left with after paying SARs monthly?
The tangent to the curve 𝑦 = 2𝑥²− 5𝑥 + 6 at the point (2,4) intersects the normal to the same curve at the point (1,3) at point 𝑄. Find the coordinates of 𝑄
