Question

1) Continuous random variables are obtained from data that can be measured rather than counted. A) True B) False 2) Discrete variables have values that can be measured. A) True B) False 3) Determine whether the random variable described is discrete or continuous. The number of minutes you must wait in line at the grocery store A) continuous B) discrete 4) Determine whether the random variable described is discrete or continuous. The total value of a set of coins A) discrete B) continuous 5) Determine whether the random variable described is discrete or continuous. The number of 3-point shots made in a basketball game A) discrete B) continuous 6) Determine whether the random variable described is discrete or continuous. The length in seconds of a randomly selected TV commercial A) discrete B) continuous 7) The sum of the probabilities of all the events in the sample space of a probability distribution must equal 1. A) True B) False 8) A(n) variable is one in which values are determined by chance. A) discrete D) random B) sampled C) continuous

Answer 1

8. Continuous random variables are obtained from data that can be measured rather than counted ЭТтие can be measured 2. Discrete variables have values that =) Frosite False 3. Determine whether the randorn variable described is I discrete or continuous. The number of minutes you must, wait in line at the grocery store. * Continuous

Determine whether the random variable described as discrete or continuous. The total value of a set of coins Discrete 5. Determine whether the random variable described is discrete or continuous. The number of 3-point Shots made in a basketball game - Discrete 6. seconds of a randomly selected TV The length in Commercial. = Continuous 1 7. The sum of the sample space >> TRUE probabilities of all of a prob distribution the events in must equal the l. determined by | Acm) variable is one in which values are chance A Random g. Acn) Probability distribution consists of the finite no. of values a random variable can assume and the I corresponding prob. of the values. » Discrete to fill the missing value to represents a prob. distribution 0.5 0.24 0.02 = 1 pia) * A 0.24 0,24

giul Construct a graph for this data 1 x 8 9 10 11 Pex) 0.21 0.31 0.16 0.14 > ] Graph out the Thind position 12 0. 080- oto tios 8 9 10 11 12 9.12 X 0 P(x) 043 8] 0.14 1 0.58 . 2 ois 3 ol 4 0.04 __ 0.13 I No. of times o 1 2 3 4 5 freauence 126 269 233 133 80 22 I Prob. that a person does not dine >> D) 0,141 6 7 Total 8 4 895 out at all 9.14 X 0 1 2 P(x) 0.09 0.68 0.12 apin) 0.68 0.24 | Ecx) Expra) LA 1.29 z 1. 29 3 0.07 0.24 4 0.04 0.16 1.29

15. X 0 1 2 3 4 pex) 0.31 0.42 0.19 0.03 onos apix) O 0.420.38 0.09 0.20 x² pia) o 0.42 0.76 0,27 0.8 9.09 2.25 = VOX 2 = E(X2) -(€1x))? = 2.25 - (10g) 2 = 1.0619 & B ] 10062