Quiz
MAT IV
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Questions in this quiz (41)
1120. Assuming that the height of men of a certain age group is a normally distributed random variable X with the parameters . Find the correctly calculated probabilities of the events.
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2121. Assuming that the height of men of a certain age group is a random variable X uniformly distributed over . Find the correctly calculated probabilities of the events.
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3122. Assuming that the height of men of a certain age group is a random variable X uniformly distributed over . Find the correctly calculated probabilities of the events.
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4123. A normally distributed random variable X is given by the differential function: . Find the probability of hit of the random variable X into the interval .
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5124. The time (in hours) required to repair a machine is an exponentially distributed random variable with parameter . Find the correctly calculated probabilities of the events
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6125. A random variable X is distributed under an exponential law with parameter . Find the probability of hit of the random variable X into the interval .
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7126. The number of all possible allocations
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8The number of all possible combinations
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9128. How many ways are there to choose 2 details from a box containing 9 details?
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10The numbers of allocations, permutations and combinations are connected by the equality
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11130. If some object A can be chosen from the set of objects by m ways, and another object B can be chosen by n ways, then we can choose either A or B by … ways.
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12131. Events are equally possible if …
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13132. The probability of the event A is determined by the formula
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14133. The probability of a reliable event is equal to …
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15134. The probability of an impossible event is equal to …
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16135. The probability of a random event is …
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17136. The relative frequency of the event A is defined by the formula:
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18137. At shooting by a rifle the relative frequency of hit in a target has appeared equal to 0,4. Find the number of hits if 20 shots were made.
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19Two dice are tossed. Find the probability that different number of aces will appear on dices
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20139. Two dice are tossed. Find the probability that the sum of aces will exceed 10.
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21140. Three students pass an exam. The probability that the exam will be passed on "excellent" by the first student is equal to 0,5; by the second – 0,2; and by the third – 0,8. What is the probability that the exam will be passed on "excellent" by only one student?
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22141. Three students pass an exam. The probability that the exam will be passed on "excellent" by the first student is equal to 0,5; by the second – 0,3; and by the third – 0,7. What is the probability that the exam will be passed on "excellent" by exactly two students?
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23142. Three students pass an exam. The probability that the exam will be passed on "excellent" by the first student is equal to 0,3; by the second – 0,7; and by the third – 0,8. What is the probability that the exam will be passed on "excellent" by at least one student?
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24143. Three students pass an exam. The probability that the exam will be passed on "excellent" by the first student is equal to 0,3; by the second – 0,7; and by the third – 0,8. What is the probability that the exam will be passed on "excellent" by neither of the students?
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25144. A bag contains 4 white, 6 red and 10 black balls. Four balls are drawn one by one with replacement, what is the probability that at least one is white?
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26145. How would it change the expected value of a random variable X if we multiply the X by a number k.
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27146. Which of the following expressions indicates the occurrence of exactly one of the events A, B, C?
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28147. There are 100 identical details (and 20 of them are painted) in a box. Find the probability that the first randomly taken detail will be painted.
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29148. A die is tossed. Find the probability that an even number of aces will appear
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30149. Participants of a toss-up pull a ticket with numbers from 1 up to 30 from a box. Find the probability that the number of the first randomly taken ticket contains the digit 2.
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31150. In a batch of 8 details the quality department has found out 3 non-standard details. What is the relative frequency of appearance of non-standard details equal to?
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32151. Given a normal distribution with µ=90 and σ=10, what is the probability that X>75?
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33152. For a continuous random variable X, the probability density function f(x) represents
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34153. Two events each have probability 0.3 of occurring and are independent. The probability that neither occur is
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35154. If the probability density function of a continuous random variable X is then the value of k is
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36155. A continuous random variable X is uniformly distributed over the interval [15, 21]. The expected value of X is
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37156. Four buyers went in a shop. The probability that each buyer makes purchases is equal to 0,5. Find the probability that three of them will make purchases.
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38157. Three buyers went in a shop. The probability that each buyer makes purchases is equal to 0,8. Find the probability that two of them will make purchases.
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39158. If D(X)=3, find D(-3X+4).
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40159. If D(X)=3, find D(2X-3).
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41160. The table below shows the distribution of a random variable X. Find M[x] and D(X).
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Information
- Description
- Quiz on MAT IV, created by hoffa HOFFMAN on 27/12/2019.
- Author
- hoffa HOFFMAN
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- English
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