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A gambler plays only one game for at most one hour each evening. The chance of showing a profit at the end of the hour if he plays roulette and blackjack is 30% and 20% respectively. He chooses blackjack on 60% of the evenings and roulette on the remaining evenings. Suppose he shows a profit after playing one a particular evening. What is the probability that that he played blackjack?
A prisoner is considering his chances of escape. From his cell, there are 3 possible exits he could choose and if he chooses a particular exit, the probability he will escape is 0.4; 0.3 and 0.4 respectively. If the prisoner picks an exit at random, what is the probability that the prisoner will make a successful escape (to 3 decimal places)?
An American Society of Investors survey found 30% of individual investors have used a discount broker. In a random sample of nine individuals, what is the probability:
a. Exactly two of the sampled individuals have used a discount broker?
b. Exactly four of them have used a discount broker?
c. None of them has used a discount broker?
The mean height of a random sample of 133 people is 155 cm and a standard deviation of 15 cm. The proportion of persons taller than 200 cm
If 5 pieces of certain ribbon selected at random have mean breaking strength
of 169.5 pounds with standard deviation 5.7, do they confirm to the
specification mean breaking strength of 180 pounds.
Use t.ଵ = 3.747 with 4 d.o.f.
One-tailed test, o? is known, a = 0.05, n= 34
A random sample of size 100 has a standard deviation of 5.Find
maximum error with 95% confidence.
A random sample of size 100 has a standard deviation of 5.Find
maximum error with 95% confidence.
Can we improve the standard of living of Namibians through an increase in productivity or through an increase in production?
In a study among kindergarten pupils of s certain private school, the average IQ is 100. A researcher studied the effect of his manipulative device on the intelligence of the children. A sample of 25 students who used the manipulatives has a mean of 140 with a standard deviation of 20. If the IQ of the students follows a normal distribution, what is the t-value?
