a local charity holds a carnival to raise money. in one activity, participants make a $3 donation for a…

a local charity holds a carnival to raise money. in one activity, participants make a $3 donation for a chance to spin a wheel that has 10 spaces marked with the values 0, 1, 2, 5, and 10. the participant wins the dollar amount marked on the space on which the wheel stops. let x represent the value of a spin. the distribution of x is given in the table.\n|value of a spin|0|1|2|5|10|\n|probability|0.4|0.2|0.2|0.1|0.1|\nwhat is the median of the distribution?\no 1\no 1.5\no 2\no 2.1

a local charity holds a carnival to raise money. in one activity, participants make a $3 donation for a chance to spin a wheel that has 10 spaces marked with the values 0, 1, 2, 5, and 10. the participant wins the dollar amount marked on the space on which the wheel stops. let x represent the value of a spin. the distribution of x is given in the table.\n|value of a spin|0|1|2|5|10|\n|probability|0.4|0.2|0.2|0.1|0.1|\nwhat is the median of the distribution?\no 1\no 1.5\no 2\no 2.1

Answer

Explanation:

Step1: Calculate cumulative probabilities

$P(X = 0)=0.4$, $P(X\leq0)=0.4$; $P(X = 1)=0.2$, $P(X\leq1)=0.4 + 0.2=0.6$; $P(X = 2)=0.2$, $P(X\leq2)=0.6+0.2 = 0.8$; $P(X = 5)=0.1$, $P(X\leq5)=0.8 + 0.1=0.9$; $P(X = 10)=0.1$, $P(X\leq10)=0.9+0.1 = 1$.

Step2: Find the median

Since the total probability is $1$, and we want to find the value $x$ such that $P(X\leq x)\geq0.5$. When $x = 1$, $P(X\leq1)=0.6\geq0.5$.

Answer:

1