SAT scores of randomly selected samples of 12 students in university Aand 2 students in
university are described i Tables
a) Please fill the following table of statistical data analysis for the two universities
b) For each university calculate the actual percentage of SAT scores the interval, x+3s
how do your results compare the Chebyshev s rule, explain?
c) Which university performs better. please explain?
Students were asked recent survey whether they prefer meal plan (yes no) They were also
asked about their acadernic degree (undergraduate, M.B Ph.D.). The survey encompassed
1030 students Their responses are documented this table:
Prefers meal plan
Suppose one student selected random Using this data, find the probabilities
a) The student prefers meal plan?
b) The student i not pursuing Ph.D. degree?
c) The student prefers meal planoo pursues M.B.A degree?
d) Given the student pursues undergraduate degree, the student does not prefer meal plan?
c) Let be the event student prefers meal plan Let be the event that the student pursues
Ph.D. degree. Are and B independent, please explain?
3.1 Manufacturer of radios became aware that in a shipment of 20 radios to retail s store, are
defective The store has policy testing random 2 radios each shipment before sale and
accept shipment if both radios are not defective Whati the probability that he shipment is
3.2 Truck dealership advertises that ithas 20trucks for sale Quality inspector finds that 6 of the
trucks have mechanical defects in the engine. If truck company purchases trucks random
from the dealership then whati the probability that tob trucks good shape That
one truck has engine failure?
Financial investor ourchases dividend funds for three years Each year independently the
probability gain profit from investment is 70% and loss 30%
Let X be the number of years =0, 2or the investor sustained loss, Please calculate:
a) Probability distribution of x.
b) Expected value of.
c) Variance of X.
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