Genetic disease

One genetic disease was tested positive in both parents of one family. It has been known that any child in this family has a 25% risk of inheriting the disease. A family has 3 children. What is the probability of this family having one child who inherited this genetic disease?

Correct result:

p =  0.4219

Solution:

$$\begin{gathered} C_1(3)=\left({\displaystyle \genfrac{}{}{0px}{}{3}{1}}\right)={\displaystyle \frac{3!}{1!(3-1)!}}={\displaystyle \frac{3}{1}}=3 \\ q=25\mathrm{\%}={\displaystyle \frac{25}{100}}=0.25 \\ n=3 \\ k=1 \\ p=\left(\genfrac{}{}{0px}{}{n}{k}\right)\cdot q^k\cdot (1-q{)}^{n-k}=3\cdot 0.25^1\cdot (1-0.25{)}^{3-1}={\displaystyle \frac{27}{64}}=0.4219 \end{gathered}$$

Try another example

Showing 0 comments:

Next similar math problems:

• Here is
  Here is a data set (n=117) that has been sorted. 10.4 12.2 14.3 15.3 17.1 17.8 18 18.6 19.1 19.9 19.9 20.3 20.6 20.7 20.7 21.2 21.3 22 22.1 22.3 22.8 23 23 23.1 23.5 24.1 24.1 24.4 24.5 24.8 24.9 25.4 25.4 25.5 25.7 25.9 26 26.1 26.2 26.7 26.8 27.5 27.6 2
• Probability of malaria
  A survey carried out at a certain hospital indicates that the probability that a patient tested positive for malaria is 0.6. What is the probability that two patients selected at random (i) one is negative while the other tested positive? (i) both patient
• Component fail
  There is a 90 percent chance that a particular type of component will perform adequately under high temperature conditions. If the device involved has four such components, determine the probability that the device is inoperable because exactly one of the
• Sales
  From statistics of sales goods, item A buy 51% of people and item B buys 59% of people. What is the probability that from 10 people buy 2 item A and 8 item B?
• Sick days
  In Canada, there are typically 261 working days per year. If there is a 4.9% chance that an employee takes a sick day. .. what is the probability an employee will use 17 OR MORE sick days in a year?
• Internet anywhere
  In school, 60% of pupils have access to the internet at home. A group of 8 students is chosen at random. Find the probability that a) exactly 5 have access to the internet. b) At least 6 students have access to the internet
• Family
  94 boys are born per 100 girls. Determine the probability that there are two boys in a randomly selected family with three children.
• All use computer
  It is reported that 72% of working women use computers at work. Choose 3 women at random, find the probability that all 3 women use a computer in their jobs.
• Six questions test
  There are six questions in the test. There are 3 answers to each - only one is correct. In order for a student to take the exam, at least four questions must be answered correctly. Alan didn't learn at all, so he circled the answers only by guessing. What
• Test
  The teacher prepared a test with ten questions. The student has the option to choose one correct answer from the four (A, B, C, D). The student did not get a written exam at all. What is the probability that: a) He answers half correctly. b) He answers al
• Records
  Records indicate 90% error-free. If 8 records are randomly selected, what is the probability that at least 2 records have no errors?
• Left handed
  It is known that 25% of the population is left-handed. What is the probability that there is a maximum of three left-handers at a seminar where there are 30 participants?
• Deficiencies
  During the hygienic inspection in 2000 mass caterers, deficiencies were found in 300 establishments. What is the probability that deficiencies in a maximum of 3 devices will be found during the inspection of 10 devices?
• Playing cards
  From 32 playing cards containing 8 red cards, we choose 4 cards. What is the probability that just 2 will be red?
• Alopecia
  Medical literature indicates that 45% of men suffer from alopecia. For random sample of 8 men, calculate the probability that: (a) exactly four men suffer from alopecia. (b) at most two men suffer from alopecia.
• Families 2
  There are 729 families having 6 children each. The probability of a girl is 1/3 and the probability of a boy is 2/3. Find the the number of families having 2 girls and 4 boys.
• Dice
  We throw five times the dice. What is the probability that six fits exactly twice?