statistics quiz

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1. Height of men on a basketball team have a bell shaped distribution with a mean of 178cm and a standard deviation of 8 cm. using the empirical rule what is the approximate percentage of the men between the following values?

a) 154cm and 202cm

b) 170cm and 186cm

 

height of women have a bellshaped distribution with a mean of 165cm and a standard deviation of 7 cm.  using chebyshev’s theorem, what do we know about the precentage of women with heights that are within 2 standard deviation of the mean? What are the minimum and maximum height.

 

At least ______% of women have height within 2 standard deviations of 165 cm

the minimum height that is within 2 standard deviation of the mean is _________cm

and the maximum mean is _______cm

 

3. the table list probabilities for the corresponding numbers of girls in 3 births. what is the random variable. What are its possible values , and are its values numerical?

Number_of_girls P(x)
0 0.125
1 0.375
2 0.375
3 0.125

 

a) the random variable is p(x), which is the probability of a number of girls in 3 births. the possible valyes of p(x) are 0.125 and 0.375. the values of the random values p(x) are not numerical.

 

b)  the random variable is  (x), which is the number of girls in 3 births. the possible values of (x) are 0.125 and 0,1,2, and 3. the values of the random values (x) are not numerical.

 

c)  the random variable is  (x), which is the number of girls in 3 births. the possible values of (x) are 0.125 and 0,1,2, and 3. the values of the random values (x) are numerical.

 

d) the random variable is p(x), which is the probability of a number of girls in 3 births. the possible valyes of p(x) are 0.125 and 0.375. the values of the random values p(x) are numerical.

 

 

3) The random variable x is the number of girls ted approches before encountering one who reacts positively. Determine whether the table describes a probability distribution. If it does find its mean and standaed devation.

x P(x)
1 0.002
2 0.015
3 0.138
4 0.288
5

0.228

 

a) u=

b)the table is not probability distribution

 

4) find the standard deviation o of the random variable x. select the correct choice below and necessary. fill in the answer to complete

a) o=

b)u=

 

5) nine peas are generated from parents having the green/yellow pair of genes so there is a 0.75 probability that an individual pea will have a green pod. find the probability that among 9 off springs pea, no more then 1 pea with a green pod when 9 off springs peas are generated? why or why not?

 

a)the probability that no more than 1 of the 9 off spring peas has a green pod is___________.  round to 3 decimal places

 

b) Is it unusual to randomly select 9 peas and find that no more the 1 of them have a green pod? Note that a small probability is one that is less than 0.05

a) no because the probability of this occurring is not small

b)yes because the probability of this occurring is not small

c)yes because the probability of this occurring is very small

d)no because the probability of this occurring is very small

 

 

Binomial distribution – use the given values of n and p .. n = trails p= probability success…. to find the mean u and the standard deviation o. also use range rule of thumb to find the miniuim usual value u-2o and the maximum usual value u+2o. n = 250, p = 0.6

 

u=___________

o=_________ round to ones place

 

u-2o=_______

u+20=____________

 

 

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