A popular event among older swimmers (15-17 years old) during the Washtenaw Interclub Swimming Conference (WISC) championships is the 50-yard freestyle. The distribution for completion time, in seconds, for older swimmers who participate in the 50-yard freestyle event follows a normal distribution with mean of 44 seconds and a standard deviation of 6 seconds.

The Huron Valley Swimming Club (HVSC) is a very selective team and uses the WISC swim championship results for older swimmers (15-17 years old) participating in the 50-yard freestyle event in the following way:

• Older swimmers are given an enrollment discount if their completion time for the 50-yard freestyle event is less than 35 seconds.
• All older swimmers whose completion time for this event falls in the slowest 10% of the distribution for completion times, will be asked to attend an additional practice per week.

1.) What is the cut-off time (in seconds) that the club will use for the slowest 10% of older swimmers who will be asked to attend an additional practice per week?

This question requires a numeric input; no work is necessary. Make sure to include 4 decimal places, if appropriate and express it as X.XXXX.

2.) Suppose 40 HVSC older swimmers who participated in the 50-yard freestyle event during the WISC swim championships will be randomly selected. Their completion times can be considered a random sample. How many of these 40 HVSC older swimmers would be expected to be given an enrollment discount?

This question requires a numeric input; no work is necessary. Make sure to include 4 decimal places, if appropriate and express it as X.XXXX.