The probability is 0.182 that a person with HIVpositive at the age of 20 years will live till 63 years of age. Among6 HIV positive patients of 20 years, what is the probability that thenumber of patients alive till 63 years isa. from the distribution table find the nature of curve whether it is ____________YOU CAN USE ONLINE SIMULATION CALCULATOR.
Question
The probability is 0.182 that a person with HIVpositive at the age of 20 years will live till 63 years of age. Among6 HIV positive patients of 20 years, what is the probability that thenumber of patients alive till 63 years isa. from the distribution table find the nature of curve whether it is ____________YOU CAN USE ONLINE SIMULATION CALCULATOR.
Solution
This problem is a binomial distribution problem. Here's how you can solve it:
Step 1: Identify the parameters of the binomial distribution. In this case, the number of trials n is 6 (the number of HIV positive patients), and the probability of success p is 0.182 (the probability that a patient lives till 63).
Step 2: Use the formula for the probability mass function of the binomial distribution to calculate the probability of a given number of successes. The formula is:
P(X=k) = C(n, k) * (p^k) * ((1-p)^(n-k))
where P(X=k) is the probability of k successes in n trials, C(n, k) is the binomial coefficient ("n choose k"), and p is the probability of success.
Step 3: To find the probability that the number of patients alive till 63 is a certain number, plug that number in for k in the formula and calculate.
Step 4: If you need to find the probability for a range of numbers, calculate the probability for each number in the range and add them up.
Step 5: To find the nature of the curve, you can plot the probabilities for a range of numbers of successes. The shape of the curve will depend on the values of n and p. In general, if n is large and p is close to 0.5, the distribution will be approximately normal. If p is very small or very large, the distribution will be skewed.
You can use an online binomial distribution calculator to do these calculations.
Similar Questions
In the caseThe probability is 0.182 that a person with HIVpositive at the age of 20 years will live till 63 years of age. Among6 HIV positive patients of 20 years, what is the Standard deviation of the Binomial distribution that thenumber of patients alive till 63 years ?YOU CAN USE ONLINE SIMULATION CALCULATOR.
The probability is 0.182 that a person with HIVpositive at the age of 20 years will live till 63 years of age. Among6 HIV positive patients of 20 years, what is the mean of the binomail distribution that thenumber of patients alive till 63 years ?YOU CAN USE ONLINE SIMULATION CALCULATOR.
Insurance: An insurance company sells a 1-year term life insurance policy to an 83-year-old man. The man pays a premium of $4700. If he dies within 1 year, the company will pay $82,000 to his beneficiary. According to the U.S. Centers for Disease Control and Prevention, the probability that an 83-year-old man will be alive 1 year later is 0.9437. Let X be the profit made by the insurance company.Part: 0 / 20 of 2 Parts CompletePart 1 of 2(a) Find the probability distribution.The probability distribution isx 82000 4700Px
If the mean age of infection with a pathogen is 8 years in a population with mean life expectancy of 80 years, what is the approximate R0 for the pathogen?1 point
The average age of vehicles registered in the United States is 96 months with a standard deviation of 15 months. A sample of sample of 64 vehicles is taken. Answer Question 26 and Question 29 Q26 (1 marks) The average age of a vehicle can be modelled by a normal distribution. (T/F). Q27 (2 marks): Find the probability that the mean age is between 98 and 100 months. Q28 (2 marks): Find the probability that the mean age is greater than 100 months. 0.0164Q29 (3 marks): If the sample size is double, find the probability that the mean age in the sample is either less than 94 months or greater than 98 months.
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.