given
Number of Accidents | Number of days |
0 | 185 |
1 | 102 |
2 | 55 |
3 | 12 |
4 or more | 11 |
Total | 365 |
a.)Frequency Distribution
b.)
Number of Accidents(X) | P(X) |
0 | 0.507 |
1 | 0.279 |
2 | 0.151 |
3 | 0.033 |
4 or more | 0.030 |
Total | 1 |
c.)
d.)
ans: 0.151
e.)
P(less than 2 accidents)=P(0)+P(1)=0.507+0.279=0.786
4. The following Table represents the numb ng Table represents the number of accidents and the...
4. Ine following Table represents the number of accidents and the corresponding of days in which those accidents occurred on a given plant during past year. Number of accidents Number of days 185 102 55 12 11 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 accidents tomorrow? e)...
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...
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...
Question 1
Question 1) (15) Suppose the table below represents the relative frequency of the number of defective items produced per day for a sample 25 days. Number of Defective Items (X) Number ofdays Pr(X-i) 距1 Pr(X =x) 4 a) Fill in the Probability distribution of X. Sketch a graph illustrating the p.d. (2.5) b) Fil in the cumulative distribution of X. Sketch a graph illustrating the c.d. (2.5) c) Calculate the expected value of X. Explain the meaning of...
The following table contains the probability distribution for the number of traffic accidents daily in a smal town. Complete parts (a) and (b) to the right. a. Compute the mean number of accidents per day. Number of Accidents Px) (Type an integer or a decimal.) Daily (X) 0.22 0.25 0.21 0.11 0.09 0.07 0.05 b. Compute the standard deviation. (Type an integer or decimal rounded to three decimal places as needed.)
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?
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...
1) A personnel manager of a large manufacturing plant is investigating the number of reported on-the-job accidents at the facility over the past several years. Let X be the number of such accidents reported during a 1 month period. Based on past records, the manager has established the probability distribution for X as shown in the data below. Reported on-the-job accidents Number reported Probability 0 0.50 1 0.25 2 0.10 3 0.05 4 0.05 5 0.02 6 0.01 7 0.01...
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...