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Q1) A study was recently done in which 500 people were asked to point out their choices for one of three products. Following table illustrates the breakdown of responses by gender of the respondents.
Product Preference
Gender
A
B
C
Male
80
20
10
Female
200
70
120
Based on data, probability that person in population will favour product A can be assessed as: i) 0.18
ii) 0.56
iii) 0.286
iv) 0.16
Q2) Suppose that standard deck of 52 playing cards is randomly shuffled and first 2 cards are dealt to you. Find out the probability that you have blackjack? Blackjack is where one card is an ace and other card is worth 10 points. 10 point cards are Kings, Queens, Jacks and 10's.
A random variable X is normally distributed with mu = 60 and standard XXX = 11. What is zscore for X = 71
If the mean IQ of all Omega University students was equal to 115, and a small random sample of students was selected from the population whose mean IQ was 120, then this difference of 5 points would equal the:
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What is your null hypothesis? What is your alternative hypothesis? What your decision about the null hypothesis?
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Mention your decision regarding the null hypothesis. If H 0 rejected can we conclude that treatment 2 and treatment 3 differ? Use 95 percent level of confidence.
Determine the test value? Use α = 0.05. (Use the variances unequal formula).
Find the range, standard deviation, and variance for the scores.
Using the Binomial Distribution, find the probability that if Air Northeast books 22 people on a flight, not enough seats will be available for all booked passengers.
Assuming that students make their decisions independently, the number who accept has the B (1200, 0.75) distribution. If this number is less than 950, the college will admit students from its waiting list.
Determine x-bar and s for this data set. You may suppose the values for bulb life are normally distributed. Use traditional method to make your decision.
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