Search & Filtering
Amount paid ($)|200|250| 300| 350| 400| 450| 500| 550|
Number of cars|11| 8| 15| 20| 6| 10| 3| 12|
i) Estimate the mean amount paid
ii) Calculate the population standard deviation and interpret
iii) Estimate the skewness for the distribution and interpret
A taxi cab company has 12 Ambassadors and 8 Fiats. If 5 of these taxi cabs are in the shop for repairs and Ambassador is as likely to be in for repairs as a fiat. what is the probability that (i) 3 of them are Ambassadors and 2 are fiats? (ii) at least 3 of them are Ambassadors? And (iii) all 5 of them are of the same make?
Find the probability that the income-tax official will catch 3 income-tax turns with illegitimate deductions. if he randomly selects 5 returns from among 12 returns of which 6 contain illegitimate deductions
Four tickets marked 00,01,10, 11 respectively are placed in a bag. A ticket is drawn at random five times, being replaced each time. Find the probability that the sum of the numbers on the tickets thus drawn is 23.
The following table shows the ‘less than’ cumulative frequency distribution of the waiting times at college bus stops for a random sample of 120 students.
Waiting times (in minutes) Number of students
<10 18
<20 54
<30 84
<50 102
<70 120
a)
(i) State the variable of interest.
(ii) Indicate whether the variable of interest in Question 1 a) (i) is qualitative, quantitative
continuous, or quantitative discrete.
(iii) Variables was collected from population or sample?
b) Construct a percentage cumulative frequency distribution. Then, draw a ‘less than’
percentage cumulative frequency ogive.
c) Use the graph obtained in Question 1 (b), estimate
(i) the median, and interpret the result.
(ii) the percentage of students who have waiting times of more than 40 minutes.
d) Redraft the cumulative frequency distribution into a grouped frequency distribution.
e) Calculate the mean, variance and standard deviation.
Find the probability that the income-tax official will catch 3 income-tax turns with illegitimate
deductions. if he randomly selects 5 returns from among 12 returns of which 6 contain
illegitimate deductions
.A farmer produces seeds in packets for sale. The probability that a seed selected will grow is 0.8. If 5 of the seeds are grown, what is the probability that?:
i.less than two will grow?
ii.less more than three will grow?
Rosenthal and Jacobson (1968) informed classroom teachers that some of their students showed unusual potential for intellectual gains. Eight months later the students identified to teachers as having potentional for unusual intellectual gains showed significantly greater gains performance on a test said to measure IQ than did children who were not so identified.
1. A survey is conducted on attitudes towards drinking. A random sample of eight married couples is selected, and the husbands and wives respond to an attitude-toward-drinking scale. (20 Points)The scores are as follows:
HUSBAND SCORE - 16 , 20, 10, 15, 8, 19, 14, 15
WIFE SCORE - 15, 18, 13, 10, 12, 16, 11, 12
defectives by means of a sampling system. Ten components are
examined and the lot is to be rejected if two or more are found
to be defective. If a consignments contains exactly 10%
defectives.
Find the probability of the consignment by using the technique
of Binomial probability distribution that the consignment is:
i) Accepted
ii) Rejected
#340153 on Dec 2023