suppose random individuals are tested one by one. what is the probability that the fifth individual is the second one with a positive result?
suppose random individuals are tested one by one. what is the probability that the fifth individual...
a) Suppose one injured individual is selected at random. What is the probability that this person is 75-or-over and experienced a dog-related injury? b) Suppose one injured individual is selected at random. What is the probability that this person is between 55 and 74 years old? c) Suppose one injured individual is selected at random. What is the probability that this individual is at least 55 years old (i.e., is 55 years old or older)? d) Suppose one injured person...
One percent of all individuals in a certain population are carriers of a particular disease. A diagnostic test for this disease has a 95% detection rate for carriers and a 4% detection rate for non-carriers. Suppose the test for this is applied independently to two different blood samples from the same randomly selected individual. Hint: Use Notation A= {no disease} A'={disease} B1= {1st test positive} B2={2nd test positive} a) What is the probability that the first test is positive? b)...
c) If one of the individuals is randomly selected, what is the probability of selecting an individual diagnosed with step, given that the individual is a child? (see table below) Diagnosed Strep Age Group Yes No Child 60 111 Adult 29 211
Suppose that 70% of the videogame consoles are not defected. What is the probability of finding the second console without defects. a)Define a random variable b)Identify the distribution and its parameters What is the probability of finding the second console without defects: c) in the third try d) in the sixth try or before e) in the fifth try or later
Suppose that 20% of the cyclists racing in the Tour de France are using illegal performance enhancing drugs. They are tested one week prior to the start of the race. The blood test administered has a 5% false positive rate (that is, the probability of a positive result given the individual is not using an illegal performance enhancing drug is .05). The probability of a positive result given the individual is using an illegal performance enhancing drug is .90. Suppose...
Suppose that xı,... , In are a random sample of lifetimes for individuals diagnosed with a certain disease. Assume a model with where k is fixed and known Interest is in the parameter -P(X> 25; A) which gives the probability that an individual will survive more than 25 years with the disease. It can be shown that the cumulative distribution Determine the MLE of
(b) Suppose that xi, . . . ,Xn are a random sample of lifetimes for individuals diagnosed with a certain disease. Assume a model with λ, x>0, where k is fixed and known Interest is in the parameter Ç P(X > 25A) which gives the probability that an individual will survive more than 25 years with the disease. It can be shown that the cumulative distribution Determine the MLE of
12. Suppose 500 athletes are tested for a drug, one in twenty has used the drug, the test has a 98% specificity and the test has a 100% sensitivity. That is, the probability of a false positive is 2% and there is no chance that the user of the drug will go undetected. Construct a tree diagram showing the probabilities associated with this problem. Write a probability on each branch (6 branches). Multiply the the probabilities along each path and...
12. Suppose 500 athletes are tested for a drug, one in twenty has used the drug, the test has a 98% specificity and the test has a 100% sensitivity. That is, the probability of a false positive is 2% and there is no chance that the user of the drug will go undetected. Construct a tree diagram showing the probabilities associated with this problem. Write a probability on each branch (6 branches). Multiply the the probabilities along each path and...
In a cross between two mottled offspring, what is the probability of getting a mottled offspring? (2 points) In a cross between two mottled flowers, if there are two offspring, what is the probability of getting one black offspring and one white offspring? (2 points) In a cross between two mottled flowers, if there are two offspring, what is the probability of getting one white offspring and one mottled offspring? (2 points) In a cross between mottled flowers, if there...