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Question
the table shows the movement of walt disney stock for 30 randomly selected trading days. “up” means the stock price increased in value for the day. “down” means the stock price decreased in value for the day, and “no change” means the stock price closed at the same price it closed for the previous day. complete parts (a)-(e) below. down down down down up up down up down up down up down down up up up up down down down up down up no change up down down no change no change (round to the nearest thousandth as needed.) (b) are the probabilities in part (a) empirical, classical, or subjective? the probabilities are empirical. (c) what is the probability that walt disney stock is up for a randomly selected day? (round to the nearest thousandth as needed.)
Step1: Count number of "Up" days
Count the number of "Up" in the data - set. By counting, we find there are 12 "Up" days.
Step2: Calculate probability
The probability $P$ of an event is given by the formula $P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$. Here, the total number of trading - days is $n = 30$, and the number of "Up" days (favorable outcomes) is $m=12$. So $P=\frac{12}{30}=0.400$.
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0.400