Complete the given relative frequency distribution Outcome 1 2 ? 4 5 Rel. Frequency 0.1 0.4...
The following table shows the frequency of outcomes when two distinguishable coins were tossed 4,000 times and the uppermost faces were observed. HINT (See Example 2.] Outcome HH HT TH TT Frequency 1,100 950 1,200 750 What is the relative frequency that the first coin lands with heads up? (Round your answer to four decimal places.) Complete the given relative frequency distribution. Outcome 3 1 2 4 5 I 0.1 0.4 0.1 Rel. Frequency 0.3 Compute the relative frequencies. (a)...
6. The distribution law of random variable X is given -0.4 -0.2 0 0.1 0.4 0.3 0.2 0.6 Xi Pi Find the variance of random variable X. 7. Let X be a continuous random variable whose probability density function is: f(x)=Ice + ax, ifXE (0,1) if x ¢ (0:1) 0, Find 1) the coefficient a; 2) P(O.5 X<0.7); 3) P(X>3). Part 3. Statistics A sample of measurements is given Y 8 4 2 2 0 8. Compute the coefficient of...
A frequency distribution is shown below. Complete parts (a) and (b). The number of televisions per household in a small town Televisions 0 2 3 Households 28 449 727 1403 1 (a) Use the frequency distribution to construct a probability distribution. P(x) х 0 1 2 3 (Round to three decimal places as needed.) (D) Grapn the probability distribution using a histogram. Choose the correct grapn or the distribution below. B. APEX) 06- 0.5- OA APIX) 0.6- 0.5- 0.4 0.3...
x -4 -3 -2 -1 0 P(X = x) 0.1 0.1 0.1 0.3 0.4 Step 1 of 5: Find the expected value E(X)E(X). Round your answer to one decimal place. Step 2 of 5: Find the variance. Round your answer to one decimal place. Step 3 of 5: Find the standard deviation. Round your answer to one decimal place. Step 4 of 5: Find the value of P(X>−1)P(X>−1). Round your answer to one decimal place. Step 5 of 5: Find...
Consider the following probability distribution: x P(x) 1 0.1 2 ? 3 0.2 4 0.3 What must be the value of P(2) if the distribution is valid? A. 0.6 B. 0.5 C. 0.4 D. 0.2 What is the mean of the probability distribution? A. 2.5 B. 2.7 C. 2.0 D. 2.9
A frequency distribution is shown below. Complete parts (a) and (b). The number of televisions per household in a small town Televisions Households 28 3 720 1400 (a) Use the frequency distribution to construct a probability distribution. P(x) (Round to three decimal places as needed.) (b) Graph the probability distribution using a histogram. Choose the correct graph of the distribution below Pix) 0.4 0.3 0.2 0.1 0.1 Describe the histogram's shape. Choose the correct answer below. O skewed right O...
Complete the following probability distribution table and then calculate the stated probabilities. I Outcome b d Probability 0.1 0.67 0.1 0.03 а с e (a) P({a, c, e}) P({a, c, e}) = (b) P(EUF), where E = {a, c, e) and F = {b, c, e} P(EU F) = (c) P(E'), where E is as in part (b) P(E') = (d) P(En F), where E and F are as in part (b) P(En F) =
2) Consider a random variable with the following probability distribution: P(X = 0) = 0.1, P(X=1) =0.2, P(X=2) = 0.3, P(X=3) = 0.3, and P(X=4)= 0.1. A. Generate 400 values of this random variable with the given probability distribution using simulation. B. Compare the distribution of simulated values to the given probability distribution. Is the simulated distribution indicative of the given probability distribution? Explain why or why not. C. Compute the mean and standard deviation of the distribution of simulated...
e 1 2 لنا 4 5 P(0.3 0.1 0.1 0.3 0.2 A pointer is spun once on a circular spinner. The probability assigned to the pointer landing on a given integer (from 1 to 5) is given in the table on the right. Given the following events, complete parts (A) and (B) below. E = pointer lands on an even number F = pointer lands on a number less than 4 (A) Find P(FIE). (Type an integer or a decimal...
2) Consider a random variable with the following probability distribution: P(X-0)-0., Px-1)-0.2, PX-2)-0.3, PX-3) -0.3, and PX-4)-0.1 A. Generate 400 values of this random variable with the given probability distribution using simulation. B. Compare the distribution of simulated values to the given probability distribution. Is the simulated distribution indicative of the given probability distribution? Explain why or why not. C. Compute the mean and standard deviation of the distribution of simulated values. How do these summary measures compare to the...