4. Ine following Table represents the number of accidents and the corresponding of days in which...
4. The following Table represents the numb ng Table represents the number of accidents and the corresponding number of days in which those accidents occurred on a given plant during past year. Number of accidents Number of days 185 102 4 or more a) Is this a frequency distribution or a probability distribution? b) Construct the probability distribution for a random variable X representing the number of accidents. c) Graph the probability distribution. d) What is the probability of two...
Note: Use statistical tables when it is possible The number of accidents at an intersection follows Poisson distribution with an average of three accidents per day. Find (Round to THREE decimal places) 1. The probability of an accident-free day. 2. The probability that there is at most 14 accidents in five days. 3. The accepted number of accident-free days in January 4. The probability that there are four accident-free days in January Calculate and 2 ? 5. Suppose you are...
The table holds the probability distribution for the variable X, which represents the number of traffic accidents in a small town (daily) Number of Accidents Per Day (X) Probability of X, P(X) 0 .21 1 .27 2 .23 3 .12 4 .08 5 .05 6 .04 a. Calculate the probability of observing at least 1 accident per day, Pr(X ≥ 1). b. Calculate the probability of observing 7 accidents per day, Pr(X = 7). c. Calculate the expected number of...
4. Assume that the number of car accidents on Saturday has a Poisson dis- tribution with mean 3.7. Assume that the number of car accidents on Sunday has a Poisson distribution with mean 2.3. Assume that the two random variables are independent. What is the distribution of their sum?
Suppose that X is a discrete random variable which represents the number of bicycles per household in a town of 1000 households. Consider the following probability distribution below. 1 2 4 0.125 РСХ) 0.256 0.108 0.083 k 21. Determine the value of k and interpret this result. 22. Construct a graph of the probability distribution with appropriate labeling. 23. Find and interpret P(1XS3) 24. Calculate and interpret ux. 25. Calculate and interpret ax.
Find the indicated probability. 23) The following contingency table provides joint people by career and retirement. age at retirement.eS a joint frequency distribution for a group of retired 25) Age at Retirement 50-55 56-60 61-65 Over 65 Total Attorney 96 40 191 Career College Professor 11 32 92 34169 C2 Secretary 21 4563 49 178 Store Clerk 18 44 70 50 182 Total Suppose one of these people is selected at random. Compute P(A2 or C3). A) 0.062 B) 0.481...
A civil engineer has been studying the frequency of vehicle accidents on a certain stretch of interstate highway. Longterm history indicates that there has been an average of 1.70 accidents per day on this section of the interstate. Let r be a random variable that represents number of accidents per day. Let O represent the number of observed accidents per day based on local highway patrol reports. A random sample of 90 days gave the following information. r 0 1...
A civil engineer has been studying the frequency of vehicle accidents on a certain stretch of interstate highway. Longterm history indicates that there has been an average of 1.70 accidents per day on this section of the interstate. Let r be a random variable that represents number of accidents per day. Let O represent the number of observed accidents per day based on local highway patrol reports. A random sample of 90 days gave the following information. r 0 1...
The number of annual precipitation days for one-half of the 50 largest U.S. cities is listed below. Do the following: 131 94 136 88 116 77 127 79 47 97 116 123 88 102 27 80 156 133 117 55 112 98 55 90 125 a) Construct a frequency distribution for the data (include class boundaries in the table) with 5 classes. b) Graph its histogram. c) Plot its cumulative frequency (ogive). d) Find the mode of the data. e)...
The random variable X, which represents the number of cherries on a cake, has the following probability distribution: x f(x) 4 0.2 5 0.4 6 0.3 7 0.1 Calculate the probability that the average number of cherries in 36 cakes is less than 5.1 Write the answer with 4 decimals.