SILA13-3. Obtain the probability distribution of X, the number of heads in three tosses of a coin or a simultaneous toss of three coins).
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Q: A computer salesman averages 1.3 sales per week. Find the probability that in a randomly selected…
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- Basic Probabilityd. Determine the probability distribution of the random variable X.In a class of students, the following data table summarizes how many students have a brother or a sister. What is the probability that a student has a brother given that they have a sister? Has a brother Does'not have a brother Has a sister 10 Does not have a sister 12 3
- Solve step by step in digital format An attempt is being made to traffic from Colombia to Mexico a box with 50 handcrafted pieces of Ráquira, ten of which contain an illicit substance. If airport special agents randomly select five pieces to inspect, determine: a) What is the probability that they will discover that the shipment is illegal? (ie at least one of the five is the illicit substance). b) Justify the distribution model used.Construct the probability distribution for rolling two dices where the random variableX= the sum of number of spots on both dices is at most 6.b. Use the probability distribution you have made in part a, and find the expected mean andvariance of X.The probability of winning a game in a casino is 0.4. A player plays 5 games in arow and each game is independent from another. What is the probability ofwinning all 5 games? A. 0.03178 B. 0.00512 C. 0.80133 D. 0.01024
- Suppose that in a small village about 90% of the residents are of Hawaiian ancestry. Let n=1, 2, 3,… represent the number of people you must meet until you encounter the first person of Hawaiian ancestry in the village. Write the expression for the probability distribution of the random variable n.13) Approximately 59.4% of adults have added bleach to their laundry. Assume six adults are randomly selected. Find the probability that at most one adult have added bleach to their laundry. Round the answer to four decimals digits.You toss a biased coin with a probability p of heads, while your friend tosses at the same time a fair coin. What is the probability distribution of the number of tosses until both coins simultaneously show the same outcome?
- Customers arrive at a video rental desk at the rate of 12 per minute(Poisson).Each server can handle 4.001 customers per minute(Poisson). If there are 5 servers, determine the probability of 4 or fewer customers in the system. a. 0.047 b. 0.059 c. 0.118 d. 0.764Light bulbs are tested for their life-span. It is found that 16% of the light bulbs are rejected. A random sample of 50 bulbs is taken from stock and tested. The random variable X is the number of bulbs that are rejected. What is the probability that the value of X is at least 5?Q5. A financial consultant has an average of ten customers arrive each day. The consultant's overhead requires that at least five customers arrive in order that fees cover expenses. What is the probability that at least five customers arrive?