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- A sociologist randomly selects single adults for different groups of three, and the random variable x is the number in the group who say that the most fun way to flirt is in person. Determine whether a probability distribution is given. If a probability distribution is given, find its mean and standard deviation. If a probability distribution is not given, identify the requirements that are not satisfied. P(x) 0.089 0.326 2 0.421 0.164 OE. No, the random variable x is categorical instead of numerical. Find the mean of the random variable x. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. H= 1.7 adult(s) (Round to one decimal place as needed.) B. The table does not show a probability distribution. Find the standard deviation of the random variable x. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. o = adult(s) (Round to one decimal place as needed.) O B. The table does not show…Which investment has the highest expected return? Which is the safest investment and why? Which is the riskiest investment and why? A. x P(x) xP(x) 7000000 0.2 1400000 0 0.3 0 -1000000 0.5 -500000 Total 900000 b. x P(x) xP(x) 3000000 0.10 3000000 2000000 0.60 1200000 -1000000 0.30 -300000 Total 1200000 c. x P(x) xP(x) 3000000 0.40 1200000 0 0.50 0 -1000000 0.10 -100000 Total 1100000x P(x) 0 0.12 1 0.08 2 0.08 3 0.08 4 0.14 5 0.1 6 0.14 7 0.26 Find the variance of this probability distribution.Give your answer to at least 2 decimal places
- .A new, miracle diabetes drug that diminishes major symptoms of diabetes has been approved by the FDA. Health care professionals and researchers believe that the new drug will prolong lifespan of diabetes patients. If the population is in steady state and the incidence is constant, what will the effect of this new drug be on the prevalence of diabetes in the population? Explain.variable with the following probability distribution. Value x of X P=Xx -20 0.10 -10 0.15 0 0.45 10 0.25 20 0.05 Complete the following. (If necessary, consult a list of formulas.) (a) Find the expectation EX of X . ? =EX (b) Find the variance Var X of X .? =VarX1. ABC inc. stock is currently selling for $30, one year from today the stock price can either increase by 20% or decrease by 15%. The probability of an increase in the stock price is equal to 0.3. The one-year risk-free rate is 5% What is the value of a European put that expires in one year with an exercise price of $24. 2. Graphically, show the value and the profit and loss of the following butterfly position: Long in a call with an exercise price of $30, short in 2 calls with an exercise price of $45, and long in a call with an exercise price of 60. All calls are written on the same stock and have the same maturity. 3. "Early exercise of an American option on a stock that does not pay any dividend is not optimal regardless of whether the option is a Call or a Put". True, False, or Uncertain. Explain.
- 3Matthew the Barber owns a one-chair shop. At barber college, they told Matthew that his customers would exhibit a Poisson arrival distribution and that he would provide an exponential service distribution. His market survey data indicate that customers arrive at a rate of two per hour. It will take Matthew an average of 20 minutes to give a haircut. Based on these figures, find the following: Part (a): The average number of customers waiting. Part (b): The average time a customer waits. Part (c): The average time a customer is in the shop. Part (d): The average utilization of Matthew's time.Section 1 4. The continuous random variable X has the following probability density function S{(1+æ), 0< x < 2; 0, fx (x) otherwise. The median, m, of a continuous random variable Y satisfies Pr(Y < m) = 0.5. Find the median of X. (Choose the option closest to the answer.) 0.8 1.4 1.2 1.6 1.0 Save For Later Next
- Two six-sided dice are rolled, and the random variable X is defined as the sum of the two numbers. Fill in the partial pdf for X.NEED NEED ANSWER ASAP !!!Given the following probability distribution of a random variable X. Find the table for the cumulative distribution function From the table F(x), the probability P(X<2)=Answer