Hospital records show that of patients suffering from a certain disease, 75% die of it. What is the probability that of 6 randomly selected patients, 4 will recover? 0.0329595 None of the choices 0.13184 0.29663
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- Light bulbs are tested for their life-span. It is found that 16% of the light bulbs are rejected. A random sample of 50 bulbs is taken from stock and tested. The random variable X is the number of bulbs that are rejected. What is the probability that the value of X is at least 5?A School has found there is a 3% probability that the question paper contains an error. Assume question paper are mutually independent. A teacher randomly selects 100 question paper, what is the probability that 95% or less of the selected question paper has no error?A sample of 3 medicine bottles is taken from an injection molding machine that is 10% nonconforming. What is the probability of 1 nonconforming medicine bottle in the sample?
- GC content in Plasmodium falciparum genome is 40%. Assume that each base pair in the genome has equal probability of being GC.a. What is the probability of finding no AT pairs if 4 pairs were randomly chosen?b. What is the probability of finding 3 or more AT pairs in 4 pairs?One light bulb is selected at random from a lot of 140 light bulbs, of which 5% are defective. What is the probability that the light bulb selected is defective?Sixty percent of clowns aren’t funny. If you randomly encounter three different clowns, what is the probability that none of them are funny?
- During the nutrition research, the amount of consumed kilocalories per day was measured for 18 people - 10 women and 8 men. Results are as follows: Women: 1624, 1608, 2003, 1654, 1907, 1636, 1924, 1868, 1578, 2010; Men: 2360, 2547, 2524, 2056, 2172, 2464, 2253, 1954. Calculate a 95% confidence interval on the mean for women and men separately. Assume distribution to be normal. Round your answers to the nearest integer (e.g. 9876). Women: i i Men: iA certain virus affects 0.7% of the population. A test used to detect the virus in a person is positive 88% of the time if the person has the virus (true positive) and 13% of the time if the person does not have the virus (false positive) Fill out the remainder of the following table and use it to answer the two questions below based on a total sample of 100,000 people. a. Find the probability that a person has the virus given that they have tested positive. Round your answer to the nearest hundredth of a percent and do not include a percent sign. b. Find the probability that a person does not have the virus given that they test negative. Round your answer to the nearest hundredth of a percent and do not include a percent sign.