Consider the following segment of mRNA produced by the normal order of DNA nucleotides:

5' UCU AAG CGA GUU 3'

What is the amino acid order if an insertion mutation adds a G to the beginning of the mRNA segment?

What is the amino acid order if a deletion mutation removes the U at the beginning of the mRNA segment?

Please write a C++ code that inputs a CSV file, asks the user if they'd like to remove certain words from the file, and removes the words from the file.

Please note that the CSV file has two columns, the first with the words, and the second with a count of how many times each word appears.

7. Suppose that we are given that there exists a random variable X whose distribution is binomial with parameters are n = 500 and p= 0.300, and here X represents the number of desired outcomes of the random experiment and n-X is the number of undesired outcomes obtained from a random experiment of n independent trials. From this random experiment   p̂ sample proportion is found as X/n. (Round your answers to 3 decimal places in all parts.)

1. What is the expected value of this statistic?

Expected value:

2. Within what limits will 99% of the sample proportion occur?

Value of sample proportion is between …................ and …................

3. What is the probability that sample proportion exceed 0.353

Probability:

4. What is the probability that sample proportion less than 0.247

Probability:

The sugar bear candy factory makes two types of chocolate candy bars milk chocolate and milk chocolate with almonds. In a typical day, 40% of the candy bars are being made of milk chocolate with almonds and the rest is plain milk chocolate. At the end of the day, a quality control expert randomly chooses 14 candy bars for inspection.

a. What is the probability that fewer than 6 of the candy bars contained almonds?

b.What is the probability that at least 3 of the candy bars contained almonds?

c.What is the probability that between 5 and 9 of the candy bars contained almonds?

d.What is the probability none of the candy bars contained almonds?

e.What is the variance for the number of candy bars with almonds?

f.What is the standard deviation for the number of candy bars with almonds?

The number of chocolate chips in a chocolate chip cookie is Poisson with a mean of 3.

a) What is the probability that a cookie has at most one chocolate chip in it?

b) In a bag of ten cookies, what is the probability that at most one cookie of the ten has at most one chocolate chip in it?

c) What is the probability (mass) function for the number of cookies that would have to be drawn until one gets a cookie with at most one chocolate chip in it?

d) A bag of cookies has 2 cookies with at most one chocolate chip and 8 cookies with more than one chocolate chip. If Sarah and Sam split the bag evenly (5 cookies each) at random, what is the probability that Sarah gets both cookies with at most one chocolate chip?

For each problem below, state the distribution, list the parameter values and then solve the problem. You may use Excel to solve but you still need to list the distribution name and parameter value(s). For example: Poisson distribution, x=5, ?=0.24, P(5; 0.24) = 0.78

a) A skeet shooter hits a target with probability 0.5. What is the probability that they will hit at least four of the next five targets?

b) You draw a random sample of 15 first graders to participate in a survey, from a class of 39 which has 19 boys and 20 girls. What is the probability that seven of the students selected will be boys?

c) You are given an unlimited number of chances to complete a very difficult problem, but your grade will be lowered each chance you take. Past history says that you have a 30% chance of getting it right. What is the probability that you will get it right on the third try?

Use the following to solve parts d through g

Cars in Miami are sold at a rate of 1.13 per day and on average 12.3% of the cars sold are considered “old” – that is they are model year 2007 or older. It seems to you – a car dealer – that the number of cars and the number of buyers and sellers in the market are very large this month compared to other moths. You decide that age of cars, number of sales and time until next sale are independent across time periods.

d) Find the probability that exactly 1 of the next 7 cars sold will be an “old” car.

e) Find the probability that exactly 9 cars will be sold in the next 7 days.

f) What is the probability that it will be at least 8 days before the next car is sold?

g) Suppose no cars are sold in March. What is the probability that no cars will be sold in the first 7 days of April?

Consider the following probability experiment consisting of three steps:

i) you spin a five sided spinner labelled 1,2,3,4,5 then

ii) you flip a coin with two possible outcomes (H or T)

iii) flip a second coin with two possible outcomes (H or T)

For a single trial:

a) What is the probability that an outcome will spin a 3 and two tails?

b) What are the odds in favour of spinning an even number and exactly one tail?

c) What are the odds against spinning even numbers? Convert this to probability.

d) What are the odds in favour of no tails and spinning an even number?

3. I am catching fish at the rate of 6 per hour. a. What probability distribution works best for this problem? Binomial, Poisson, Hypergeometric, or Normal b. What is the expected number of fish I will catch in 30 minutes? c. What is standard deviation of the number of fish I will catch in a 30 minute interval? (2 decimal places) d. What probability I will catch 4 fish in a 30 minute interval? (4 decimal places) e. What the probability I will catch at least 2 fish in a 10 minute interval? (4 decimal places)