Questions: The table gives Josh's probabilities of scoring in various ranges on a par-70 course. In a given round, find the probability of the event. par or above x P(x) ------ Below 60 0.03 60-64 0.07 65-69 0.19 70-74 0.25 75-79 0.21 80-84 0.11 85-89 0.07 90-94 0.03 95-99 0.03 100 or above 0.01 The probability of Josh scoring par or above is □

The table gives Josh's probabilities of scoring in various ranges on a par-70 course. In a given round, find the probability of the event.
par or above

x P(x)
------
Below 60 0.03
60-64 0.07
65-69 0.19
70-74 0.25
75-79 0.21
80-84 0.11
85-89 0.07
90-94 0.03
95-99 0.03
100 or above 0.01

The probability of Josh scoring par or above is □

Transcript text: The table gives Josh's probabilities of scoring in various ranges on a par-70 course. In a given round, find the probability of the event. par or above \begin{tabular}{c|c} $\mathbf{x}$ & $\mathbf{P}(\mathbf{x})$ \\ \hline Below 60 & 0.03 \\ $60-64$ & 0.07 \\ $65-69$ & 0.19 \\ $70-74$ & 0.25 \\ $75-79$ & 0.21 \\ $80-84$ & 0.11 \\ $85-89$ & 0.07 \\ $90-94$ & 0.03 \\ $95-99$ & 0.03 \\ 100 or above & 0.01 \\ \hline \end{tabular} The probability of Josh scoring par or above is $\square$

Solution

Solution Steps

To find the probability of Josh scoring par or above (70 or more), we need to sum the probabilities of all the score ranges that are 70 or above.

Solution Approach

Identify the score ranges that are 70 or above.
Sum the probabilities of these score ranges.

Step 1: Identify Relevant Score Ranges

To find the probability of Josh scoring par or above (i.e., $70$ or more), we identify the score ranges that meet this criterion:

$70-74$
$75-79$
$80-84$
$85-89$
$90-94$
$95-99$
$100$ or above

Step 2: Sum the Probabilities

Next, we sum the probabilities associated with these score ranges: \[ P(70 \text{ or above}) = P(70-74) + P(75-79) + P(80-84) + P(85-89) + P(90-94) + P(95-99) + P(100 \text{ or above}) \] Substituting the values: \[ P(70 \text{ or above}) = 0.25 + 0.21 + 0.11 + 0.07 + 0.03 + 0.03 + 0.01 \]

Step 3: Calculate the Total Probability

Calculating the total gives: \[ P(70 \text{ or above}) = 0.25 + 0.21 + 0.11 + 0.07 + 0.03 + 0.03 + 0.01 = 0.71 \]