Search & Filtering
If A and B are any two events defined on a sample space S with the following probabilities: P(A)=0.44, P(B)=0.70, and P(A∩B)=0.44. Then, P(A∪B) is
2. Determine the truth value of each of these statements if the domain consist of all integers.
A. ∀n (n+1>n)
B. Ǝn (n = -n)
C. Ǝn (2n = 3n)
D. ∀n (3n ≤ 4n)
To buy a computer system, a customer can choose one of 4 monitors, one of 2 keyboards, one of 4 computers and one of 3 printers. Determine the number of possible systems that a customer can choose from
1. Let Q(x) denote the statement “x is an integer”. What are the truth values?
A. Q(-1)
B. Q(0)
C. Q(8/2)
D. Q(sqrt(-4))
E. Q(sqrt(4))
Bag A contains 10 marbles of which 2 are red and 8 are black. Bag B contains 12 marbles of which 4 are red and 8 are black. A ball is drawn at random from each bag.
a) Draw a probability tree diagram to show all the outcomes the experiment.
b) find the probability that:
i. Both are red
ii. Both are black
iii) one black and one red
iv) at least one red
To buy a computer system, a customer can choose one of 4 monitors, one of 2 keyboards, one of 4 computers and one of 3 printers. Determine the number of possible systems that a customer can choose from
If you wanted to draw up a simulation exercise to investigate the effect of a new form of insulated ceiling and range of the spread of a fire in a building. How would you go about selecting a simulation exercise>. Explain your thinking briefly
1. Convert each degree measure to radians. Leave answers in terms of π.
1. 15°
2. 330°
3. 480°
4. -120°
5. -315
In a class of 40 students 15 grew cabbage 10 lettuce 5 both Cabbage and lettuce the rest neither calculate the probability that a randomly selected from class grew cabbage
1. The average number of milligrams (mg) of cholesterol in a cup of a certain brand of ice cream is 660 mg, the standard deviation is 35 mg. Assume the variable is normally distributed.
a. If a cup of ice cream is selected, what is the probability that the cholesterol content will be more than 670 mg?
b. If a sample of 10 cups of ice cream is selected, what is the probability that the mean of the sample will be larger than 670 mg?
2.In a study of the life expectancy of 400 people in a certain geographic region, the mean age at death was 70 years, and the standard deviation was 5.1 years. If a sample of 50 people from this region is selected, what is the probability that the mean life expectancy will be less than 68 years?
