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4 2 points DO Assume that the number of episodes per year of otitis media, a common disease of the middle ear in early childhood follows a Poisson distribution with 1.35 episodes per year. What is the probability of having 3 episodes in the first two years of life? Type your answer... 5 2 points DO It is known that 60% of households in South Africa own at least one dog. What is the probability that a household selected at random in South Africa has no dog Type your answer...
2 points We've all had those annoying cell phone calls from Heather, Daisy, or Oscar, trying to sell life insurance or an additional car warranty. First Orion, a call protection agency, recently issued a report that suggested 45% of all cell phone calls in 2019 will be spam. Suppose 500 cell phone calls are selected at random. Use the normal approximation to calculate the probability that less than 100 of cell phone calls will be sparm. Type your answer... 7 DO 2 points The seeds of the garden pea (Pisum sativum) are either yellow or green. A certain cross between pea plants produces progeny in the ratio 3 yellow: 1 green. If four randomly chosen progeny of such a cross are examine, what is the probability that all four are of the same colour? Type your answer... 8 Ded 2 points The diameters of Ping-Pong balls manufactured at a large factory are normally distributed with a mean of 3cm and a standard deviation of 0.2cm. The probability that a randomly selected Ping-Pong ball has a diameter of more than 2.7cm is Type your answer...
9 2 points Do We've all had those annoying cell phone calls from Heather, Daisy, or Oscar, trying to sell life insurance or an additional car warranty. First Orion, a call protection agency, recently issued a report that suggested 45% of all cell phone calls in 2019 will be spam. Suppose 500 cell phone calls are selected at random. Use the normal approximation to calculate the probability that at least 240 of cell phone calls will be sparm. Type your answer... 10 -20 2 points It is known that 60% of households in South Africa own at least one dog. What is the probability that a household selected at random in South Africa has one dog Type your answer... 11 1 2 points Do It is known that 60% of households in South Africa own at least one dog. What is the mean number of dogs per household in South Africa? Type your answer...
12 2 points Dod The 90th percentile of a normal distribution is how many standard deviations above the mean? Type your answer.... 序 13 2 points A certain drug treatment cures 90% of cases of hookworm in children. Suppose that 20 children suffering from hookworm are to be treated, and that the children can be regarded as a random sample from the population. Find the probability that all 20 will be cured? Type your answer... 14 2 points De The computing system of WITS is currently undergoing shutdown repairs. Previous shutdowns have been due to either hardware failure, software failure or electronic failure. The system is forced to shut down 43% of the time when it experiences hardware problems, 9% of the time when it experiences software problems, and 95% of the time when it experiences electronic problems. Maintenance engineers have determined that the probability of the computing system having hardware failure is 0.45, software and electronic failure 0.25 and 0.30, respectively. Given that there is a shutdown, the probability that it is due to hardware failure is
15 2 points 20 A certain drug treatment cures 90% of cases of hookworm in children. Suppose that 20 children suffering from hookworm are to be treated, and that the children can be regarded as a random sample from the population. Find the probability that less than 15 will be cured? Type your answer... 16 DO 2 points The serum cholesterol levels of a certain population of boys follow a normal distribution with mean 170 mg/dl and standard deviation 30 mg/dl. What proportion of the boys have serum cholesterol values between 180 and 210? Type your answer... 17 2 points 阿 Events A1, A2, and A3 are mutually exclusive and exhaustive events, with probabilities P(A1) = 0.20, P(A2) = 0.60, and P(A3) = 0.20. Given that P(B|A1) = 0.10, P(B|A2) = 0.50, and P(B|A3) = 0.40, calculate P(A3|B). Type your answer...
18 DO 2 points Suppose a certain population of observations are normally distributed. What percentage of the observations in the population are more than 2.5 standard deviations above the mean? Type your answer... 19 2 points DO In organisms genes appear in pairs, each gene of a particular pair can assume two forms (alleles), A and a are in ratio 2:1 respectively. Three different pairs can be formed (genotypes) of AA,Aa and aa (no distinction between Aa and aA). The genotype of anoffspring depend on a chance process and gets one allele from each parent independently.If the parents of an offspring are both heterozygotes (Aa organisms), calculate theprobability of an offspring being a homozygote (genotype ofAA or aa). Type your answer... 20 Dod 2 points Events A1, A2, and A3 are mutually exclusive and exhaustive events, with probabilities P(A1) = 0.20, P(A2) = 0.60, and P(A3) = 0.20. Given that P(B|A1) = 0.10, P(B|A2) = 0.50, and P(B|A3) = 0.40, calculate P(A/B). Tyne your answer