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Two professors are applying for grants. Professor Jane has a probability of 0.65 of being funded. Professor Joe has probability 0.24 of being funded. Since the grants are submitted to two different federal agencies, assume the outcomes for each grant are independent.
a.) What is the probability that both professors get their grants funded? Give your answer to four decimal places.
b.) What is the probability that at least one of the professors will be funded? Give your answer to four decimal places.
c.) What is the probability that Professor Jane is funded but Professor Joe is not? Give your answer to four decimal places.
d.) Given at least one of the professors is funded, what is the probability that Professor Jane is funded but Professor Joe is not? Give your answer to four decimal places.
Assume 1.5% of antennas on new Nokia cell phones are imperfect. For random sample of 200 antennas, determine the probability that: None of the antennas is defective.
Test hypothesis that mean weight of 2 sheets are equal against alternative that they are not(suppose equal variances). Use α=0.05 and suppose equal variances. Determine the P value.
Suppose that you have a sample mean of 49 and a standard deviation of 3, but now found those values from a sample of 20 observations. test the hypothesis allowing for type 1 error to equal .05.
What is the probability that none of the people are Independent and what is the probability that fewer than five people are independent?
The researchers made 10 measurements of ATP, which had x = 0.84. What was the sample standard deviations for these measurements?
q1. find the probabilities for the following discrete random variablesa. among a shipment of 5000 tires 1000 are
A committe studying employer-employee relations proposed that a rating system be adopted. Each employee would rate his or her inmediate supervisor and in turn the supervisor would rate each employee.
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the number of people living in a hypothetical large canadian city is reported by age groups in the following table.age
The number of customers using the service desk has a Poisson distribution. What is the probability that during a randomly selected half-hour period no more than 2 customers use the service desk?
Solve the following problem for distribution with a mean 80 and standard deviation of 10. Find out at least what percentage of values will fall between 60 and 100.
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