Statistics Assignment Probability of success

STATISTICS
ASSIGNMENT
[Document subtitle]
[DATE]

Question 6
a) Continuous
b) Continuous
c) Discrete
d) Continuous
Question 7
Binomial distribution
Defective gas tanks Probability of success (p) = 0.40
Sample (n) = 11
(a) Probability that exactly 5 of gas tank would be defective
P (5) = 0.2207
(b) Expected number of gas tank
1

Probability of being defective tank = 0.40
Probability of being non defective tank = 1- 0.40 = 0.60
Expected number of gas tank = np = 11*0.60 = 66
Question 8
Normal distribution
Mean = 6 ounces
Standard deviation = 0.3 ounces
(a) % of bottles contains greater than 6.37 ounces of vitamin
10.93% of bottles contains greater than 6.37 ounces of vitamin.
(b) Number of bottles of vitamin = 40
Probability that bottle would contain greater than 6.51 ounces of vitamin
Standard error = standard deviation/ sqrt (sample size) = 0.3 / sqrt (40) = 0.04743
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