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Suzan is taking part in five competitions. The probability of her winning any competition is 0.4. (a) Find the probability of her winning at most two competitions. (3 marks) (b) Find the average and standard deviation of this distribution (3 mark
The average number of people arriving at a fast-food drive-thru in any given 10-minute interval is 4 customers. Find the probability that at least two customers will arrive in the fast-food drive-thru in any given 15-minute interval.
Find a partial differential equation by eliminating a and b from the equations
z^2 = ax^3 + by^3 + ab.
Find a partial differential equation by eliminating a and b from the equations of
z = ax + (1 − a)y + b.
A report says that 80% of India’s females aged 15-59 are not currently engaged in the workforce. A national agency has an opinion that this percentage may be even more. To validate its opinion, the agency did a survey of randomly chosen 1200 females of the age group 15-59 from the different parts of the country and found 228 females working. Do the figures of the survey help the agency in validation of its opinion?
3. A number is selected randomly from a container containing all the integers from 10 to 50. Find:
- P(even | greater than 40)
- P(greater than 40 | even)
- P(prime | between 20 and 40)
Draw the Venn diagrams for each of these combinations of the sets A, B, and C. Shade
the region(s) corresponding to the given set expressions.
a. (A ∪ B) ∩ C
b. (𝐴̅∩ B) ∩ 𝐶̅
c. (A ∩ 𝐶̅) ∪ 𝐵̅
d. A ∩ (B ∩ 𝐶̅)
All but one of the following confidence intervals has a margin of error of 0.7. Which is the confidence interval with the different margin of error?
There are three possible values of the random variable Y representing the number of tails. These are 0, 1, and 2. Assign probability values P(Z) to each value of the random variable
There are 23 learners in a Grade 6 classroom; 13 boys and 10 girls. The teacher chooses two different learners at random to answer questions. Calculate the probability that both learners are girls
