A decision maker subjectively assigned the following probabilities to the four outcomes of an experiment: P(E1) = 0.15, P(E2) = 0.10, P(E3) = 0.40, and P(E4) = 0.30. Are these probability assignments valid? Explain. Yes, 0 ≤ P(Ei) ≤ 1 for all i and the probabilities' sum is less than 1. Yes, 0 ≤ P(Ei) ≤ 1 for all i and the probabilities' sum is greater than 1. No, the subjective method requires that all probabilities be equal. No, the probabilities do not sum to 1.

Element x decays radioactively with a half life of 8 minutes. if there are 450 grams of element x, how long, to the nearest tenth of a minute, would it take the element to decay to 37 grams?

If myesha works overtime, she gets paid "time and a half" for every hour she works. in other words, for every hour over 40 hours myesha works each week, she gets her hourly pay plus half her hourly pay. what is myesha's pay per hour when she works overtime?

Which mathematical statements are true? 1) if 3 is an odd number, then 3 times 3 is an even number. 2) if 6 is less than 7, then 4 is greater than 7. 3) six is divisible by 3, and 10 is a multiple of 2. 4) the average of the data is greater than the largest value in the data, or it’s less than the largest value in the data. 5) the slope of a linear graph is its rate of change, and the graph’s y-intercept is the initial value. 6) if an equilateral triangle has equal angles, then all its angles will measure 45°.